Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

angle a and angle b are complementary angles. angle a and angle f are s…

Question

angle a and angle b are complementary angles. angle a and angle f are supplementary angles. what is the measure of angle f? solve on paper if youd like. then enter your answer on zearn. a + b = 90 a + f = 180 f =

Explanation:

Step1: Find the value of \(a\)

Since \(a + b=90\) and \(b = 60^{\circ}\), then \(a=90 - b\).
Substitute \(b = 60^{\circ}\) into the equation: \(a=90 - 60=30^{\circ}\).

Step2: Find the value of \(f\)

Since \(a + f=180\), and \(a = 30^{\circ}\), then \(f=180 - a\).
Substitute \(a = 30^{\circ}\) into the equation: \(f=180 - 30 = 150^{\circ}\).

Answer:

\(150\)