Question

question 9 of 10
what do you know to be true about the values of p and q?

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

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\).
For the first triangle with angles \(p^{\circ},60^{\circ},30^{\circ}\), we have \(p + 60+30=180\).

Step2: Solve for \(p\)

\(p=180-(60 + 30)=90\).
For the second triangle with angles \(q^{\circ},45^{\circ},45^{\circ}\), we have \(q + 45+45=180\).

Step3: Solve for \(q\)

\(q=180-(45 + 45)=90\).

Answer:

C. \(p = q\)