Question

what do you know to be true about the values of p and q?
two triangles, first with angles p°, 80°, 20°; second with angles 55°, 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, \(p + 80 + 20 = 180\). So \(p = 180 - 80 - 20 = 80\).

Step2: Calculate q

For the second triangle, \(q + 45 + 55 = 180\). So \(q = 180 - 45 - 55 = 80\).

Step3: Compare p and q

Since \(p = 80\) and \(q = 80\), we have \(p = q\).

Answer:

B. \(p = q\)