One angle of an isosceles triangle is 50 degrees. Find the degrees of the other two angles In an isosceles triangle, the top angle is four times of the base angle

One angle of an isosceles triangle is 50 degrees. Find the degrees of the other two angles In an isosceles triangle, the top angle is four times of the base angle

1. When the top angle is 50 degrees, the base angle is (180-50) divided by 2; when the base angle is 50, the other bottom angle is 50, the top angle is 180-50-50 = 80; 2: if the base angle is x degree, x + X + 4x = 180, x = 30, so the base angle is 30 degrees, and the top angle is 120 degrees

One angle of an isosceles triangle is 50 degrees. Find the degrees of the other two interior angles Come on

1. The sum of inner angles of triangle is 180 degrees! The base angles of isosceles triangle are equal! If this angle is the top angle, then (180-50) / 2 = 75 degrees, the other two angles are: 75 degrees, 75 degrees. 2. If this angle is the base angle, then 180-50 * 2 = 80 degrees, the other two angles are: 80 degrees, 50 degrees PS: there are two answers!

If one angle of an isosceles triangle is 50 degrees, the degrees of the other two angles are______ .

(1) If 50 ° is the base angle, the other base angle is 50 ° and the top angle is 180 ° - 50 ° = 80 °;
(2) If 50 ° is the top angle, the two bottom angles are 1
2(180°-50°)=65°.
So the other two degrees of 50 degrees are 65 degrees
So the answer is 50 degrees, 80 degrees or 65 degrees

In an isosceles triangle, angle 1 + angle 2 = 135 degrees, where angle 1 is the vertex angle. Find the degree of angle 1

90 degrees

The sum of the degrees of a vertex angle and a base angle of an isosceles triangle is 135 ° so what is the vertex angle? There must be a formula

The sum of the interior angles of the triangle is 180 degrees
therefore
The other base angle = 180 ° - 135 ° = 45 °
therefore
Vertex angle = 180 ° - 45 °× 2 = 90 °

The sum of the diplomacy of the vertex angle of an isosceles triangle and the outer angle of a base intersection is 195 ° to find the degree of its vertex angle

Let the top angle be x °, the outer angle 180-x ° and the outer angle 180 ° - (180 ° - x °) / 2
180°-x°+180°-(180°-x°)÷2=195°
-2/1x=-75°
x=150°

Given that an exterior angle of an isosceles triangle is 80 degrees, then the degree of its vertex angle is______ .

An exterior angle of an isosceles triangle is 80 ° and the adjacent inner angle is 100 °,
The sum of the inner angles of the triangle is 180 ° and if this inner angle is the base angle, the sum of the inner angles will exceed 180 °,
So 100 ° can only be the vertex angle
So the answer is: 100 degrees

If an exterior angle of an isosceles triangle is 100 degrees, then the degree of the vertex angle of the isosceles triangle is______ .

When the angle of 100 ° is the outer angle of vertex angle, the degree of vertex angle is 180 ° - 100 ° = 80 °;
When the angle of 100 ° is the outer angle of the base angle, the degree of the base angle is 180 ° - 100 ° = 80 °, so the degree of the top angle is 180 ° - 2 × 80 ° = 20 °;
Therefore, the degree of vertex angle is 80 ° or 20 °

The sum of the outer angles of the top angle and the outer angle of a base angle of an isosceles triangle is 195 ° and its vertex degree is calculated

∵ the outer angle of the top angle = 2 bottom angle, the outer angle of the base angle = 1 top angle + 1 base angle, 1 top angle = 180-2 bottom angle
ν 3 base angle + 1 top angle = 195 °,
ν 3 bottom angle + 180 ° - 2 bottom angle = 195 degrees
ν base angle = 15 °
The vertex angle = 180 ° - 15 ° × 2 = 150 °

If the ratio of the two exterior angles of the isosceles triangle is 3:1, then the vertex angle of the isosceles triangle is?

If the top angle of isosceles triangle is x, then the base angle of isosceles triangle is 90-x / 2,
The outer angle of the top angle is 180-x, and the outer angle of the bottom angle is 90 + X / 2,
According to the meaning of the title:
180-x = 3 (90 + X / 2), or 90 + X / 2 = 3 (180-x),
The solution is: x = - 36 (omitted) or x = 900 / 7
So the vertex angle of the isosceles triangle is; 900 / 7 degrees