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

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

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

hey there! : )

4y < -4

we need to isolate y. we can do this by simply dividing both sides by 4.

4y ÷ 4 > -4 ÷ 4

simplify.

y > -1

5 - y > 0

once again, we need to isolate y, so we can start off by subtracting 5 from both sides.

5 - y - 5 > 0 - 5

simplify.

-y > -5

divide both sides by -1.

** remember that when dividing any side by a negative, you must switch the sign! **

-y ÷ -1 < -5 ÷ -1

simplify.

y < 5

~hope i ! ~