Respuesta :
Answer:
y = 49
Step-by-step 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
Answer:
y = 49
Step-by-step 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
