Question

What is the value of y in this triangle?

A ) 124°
B ) 98°
C ) 56°
D ) 36°

Answer 1

180-134=46 98+46=144. 180-144=36. angle y=36. So the answer is D)36.

Answer 2

D. the value of y=
`36^(\circ)` in this triangle.

Explanation:

In given triangle

one interior angle measure of given triangle =
`98^(\circ)`

II interior angle measure of given triangle=y

Exterior angle measure of the given triangle=
`134^(\circ)`

We know that exterior angle theorem

Exterior angle theorem: It states that the exterior angle formed when you extend the side of triangle and the exterior angle is equal to the sum of opposite interior angles.

Therefore, by exterior angle theorem

`y+98^(\circ)=134^(\circ)`

y=134-98

By subtraction property of equality

`y=36^(\circ)`

By simplification

Hence, the value of y=
`36^(\circ)` in this triangle.