Question

In the figure , measure of angle b is

Answer 1

Answer:

We know that

• the exterior angle of triangle is equal to the opposite side of triangle.

then,

(x+70)+2x-20 =110

just solve this u will get your answer..

the pic is not clear that's why I'm not solve it.

Step-by-step explanation:

• this is the theoram of triangle

Answer 2

Given:

Angle A=2x-20°

Angle B=x+70°

Exterior angle C=110°

To find:

The measure of angle B

Solution:

The measure of angle B is 90°.

We can find the angle by following the steps given below-

We know that in a triangle, the sum of interior opposite angles is equal to the exterior angle of the triangle.

The exterior angle of the triangle=110°

The interior opposite angles are angle A and angle B.

Exterior angle C=Angle A+Angle B

On putting the values of angles, we get

110°=(2x-20°)+(x+70°)

110°=2x-20°+x+70°

110°=3x+50°

3x=110°-50°

3x=60°

x=20°

Now, to find the measure of angle B, we will substitute the value of x.

Angle B=x+70°

=20°+70°

Angle B=90°

Therefore, the measure of angle B is 90°.