Find the value of z in the triangle shown below.

x = 68

Step-by-step explanation:

This is an isosceles triangle meaning that two sides of the triangle are equal in length while one side is not. Because we know that two of the side lengths are equal, we know that their corresponding angles are equal. In this instance, they both will have angles measuring 56°. We know that the sum of the angles of a triangle is equal to 180°. Use this information to set up an equation and solve for x.

x + 56 + 56 = 180

x + 112 = 180

x = 68

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°