Question

One of the angles of a triangle is 110° and the other two angles are equal.What is the measure of each of these equal angles?

Answer 1

`x = 35 \degree`

Explanation:

Let the unknown angle be x

Unknown Angles are equal to each other so,

`x + x + 110 = 180`

sum of the interior angles in a triangle is 180°

`2x + 110 = 180 \\ 2x = 180 - 110 \\ 2x = 70 \\ (2x)/(2) = (70)/(2) \\ x = 35 \degree`

Answer 2

x = 35

Explanation:

Let x be the one of the other angles

X is also the third angle since we know they are equal

The sum of the angles of a triangle is 180

110+x+x = 180

110 +2x= 180

2x = 180-110

2x= 70

Divide by 2

2x/2 = 70/2

x = 35