Question

an exterior angle of a triangle measures 117. its remote interior angles measure 2y + 7 and 61-y. find the value of y

Answer 1

y = 49

Explanation:

(refer to attached)

Exterior angle of a triangle = The sum of its two remote interior angles

Given:

Exterior angle = 117

Interior angles are (2y+7) abnd (61-y)

Substituting these values into the formula,

117 = (2y + 7) + (61 - y)

117 = 2y +7 + 61 - y

117 = y +68 (rearrange)

y +68 = 117 (subtract 68 from both sides)

y = 117 - 68

y = 49

Answer 2

y = 49

Explanation:

The exterior angle of a triangle is equal to the sum of remote interior angles, thus

2y + 7 + 61 - y = 117, that is

y + 68 = 117 ( subtract 68 from both sides )

y = 49