60.9k views
2 votes
What is the measure of X in degrees

What is the measure of X in degrees-example-1
User Btomw
by
8.3k points

1 Answer

1 vote

Answer:

C. 40°

Explanation:

From the diagram, in triangle XYZ, XY=XZ=6 units. This means triangle XYZ is isosceles triangle with base YZ.

In isoscels triangle angles adjacent to the base are congruent, so

∠ZYX=∠YZX=70°

The sum of all interior angles in triangle is always 180°, so

∠ZYX+∠YZX+∠ZXY=180°

∠ZXY=180°-70°-70°

∠ZXY=40°

∠ZXY is ∠X, so ∠X=40°

User Gomisha
by
8.3k points

No related questions found