Question

Help with this math question plz

Find the value of x in the given figure.

A.) 44°
B.) 40°
C.) 36°
D.) 33°​

Answer 1

`x=40^o`

Option B.

Explanation:

Angles and Triangles

When two lines cross, they define an angle. The opposite angle to that crossing point is congruent with the first one. If we have an isosceles triangle, both angles adjacent to the equal sides are congruent.

The figure shows two triangles, both are isosceles as denoted by the ticks in their sides. The lower triangle has an angle of 70° which happens to be congruent with the other angle adjacent to the other equal side, so the central angle, opposite to the upper triangle has a value of 180°-70°-70°=40°

This new-found angle is congruent with x because they are adjacent to the equal sides of the upper isosceles triangle, so

`\boxed{x=40^o}`