taylort360
taylort360 taylort360
  • 17-06-2019
  • Mathematics
contestada

What is the measure of X in degrees

What is the measure of X in degrees class=

Respuesta :

frika
frika frika
  • 17-06-2019

Answer:

C. 40°

Step-by-step 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°

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