Question

question 1 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 angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. For the first triangle with angles 80°, 30°, and \(p\), we have \(p+80 + 30=180\).

Step2: Solve for \(p\)

\(p=180-(80 + 30)=70\).

Step3: For the second triangle with angles 45°, 45°, and \(q\)

Using the angle - sum property of a triangle \(q + 45+45 = 180\).

Step4: Solve for \(q\)

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

Step5: Compare \(p\) and \(q\)

Since \(70<90\), we have \(p < q\).

Answer:

B. \(p