Question

question 10 of 10
what do you know to be true about the values of p and q?

two triangles, first with angles 50°, 30°, p°; second with angles 45°, 45°, q°

a. p > q
b. p < q
c. p = q
d. cant be determined

Explanation:

Step1: Calculate p

The sum of angles in a triangle is \(180^\circ\). For the first triangle, \(p + 50^\circ+ 30^\circ = 180^\circ\). So \(p = 180^\circ - 50^\circ - 30^\circ = 100^\circ\).

Step2: Calculate q

For the second triangle, \(q + 45^\circ+ 45^\circ = 180^\circ\). So \(q = 180^\circ - 45^\circ - 45^\circ = 90^\circ\).

Step3: Compare p and q

Since \(100^\circ>90^\circ\), we have \(p > q\).

Answer:

A. \(p > q\)