Question

the exterior angle of a triangle measure 110 and the interior opposite angle are equal find the measure of each angle of the triangle​

Answer 1

here is ur answer:

Given - exterior angle = 110°

the interior opposite angle are equal

To find - the measure of each angle of the triangle

Solution-

Let ∆ABC

angle A + angle B = angle ACD .............. {exterior angle property }

$x + x = 110 \\ 2x = 110 \\ x = \frac{110}{2} \\ x = 55$

In ∆ ABC, by angle sum property

angle A + angle B + angle C = 180°

$55 + 55 + angle \: c \: = 180 \\110 + angle \: c \: = 180 \\ angle \: c \: = 180 - 110 \\ angle \: c \: = 70$

Hence, all the angles of ∆ r :-

angle A = x = 55°

angle B = x = 55°

angle C = 70°

hope it helps you!

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Answer 2

Answer:

I HOPE THIS WILL HELP U

Step-by-step explanation:

y + 110 = 180

y = 180-110

y = 70

sum of the angle in a triangle is

x + x + y = 180

2x + 70 = 180

2x = 180-70

2x = 110

x = 55