Question

10. Sum of the vertical angle and one of the base angles of an isosceles triangle is 100°.
Find the angles of the triangle.​

Answer 1

Given:-

sum of the Vertical and base angle of a triangle = 180°

To Find:-

Angles of triangle

Solution:-

w.k.t,

$\boxed{ \bold{sum \: of \: angles \: of \: triangle = 180 \degree}}$

Acc. to the question

Vertical angle + base angle = 100°

W.k.t,

Base angles are equal in iso. triangle

let,

Vertical angle (right angle) = x

• Base angle = 100 - x
• Another base angle = 100-x

Now,

${\rightarrow}Sum = 180°$

${\rightarrow}x + 100-x+100-x = 180$

${\rightarrow} 200-x = 180$

${\rightarrow}x = 200-180$

${\rightarrow}x = 20$

Now,

Vertical angle = x = 20°

Base angles

= 100 -x

= 100-20

= 80°

Hence, The angles of triangle are 20° , 80° and 80°

Hence,