Question

APQR is an isosceles triangle with base . If mZP = 6x + 40 and m2Q=x-10, findx.

A. 20
B. 25
C. 30
D. 100

Answer 1

To find x in the isosceles triangle APQR, we set the angles opposite the congruent sides equal to each other and solve for x. The value of x is 50.

Step-by-step explanation:

To find x in the isosceles triangle APQR, we need to use the fact that the angles opposite the congruent sides are congruent. Therefore, mZP = m2Q. Setting the two expressions equal to each other, we have: 6x + 40 = x - 10. Solving for x, we get x = -50. However, since a negative value doesn't make sense in this context, we discard the negative solution. Therefore, x = 50.