Question

Use the image to answer the question.
L
50°
45°
G
H
Which statements are correct?
Select ALL that apply.
K
O The measure of ZGJK is 85°.
O The measure of ZGJK is 95°.
The measure of ZHJG is 45°.
O The measure of ZHJG is 50°.
O The measure of ZHJG is 85°.

Answer 1

Answer:

∠ GJK = 95° and ∠ HJG = 85°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ GJK is an exterior angle of the triangle , then

∠ GJK = 45° + 50° = 95°

---------------------------------------

∠ HJG and ∠ GJK are a linear pair and sum to 180° , that is

∠ HJG + ∠ GJK = 180° , that is

∠ HJG + 95° = 180° ( subtract 95° from both sides )

∠ HJG = 85°