Question

Use the diagram below to answer the question.

Find the m<C
Part a) identify what allowed you to set up an equation to solve for x
Part b) solve for x
Part c) find m<C

Answer 1

line BD is perpendicular to line AC. both angles ADB and CDB are right angles.

4x+10=90
subtract 10 from both sides

4x=80
divide both sides by 4 to isolate x

x=20

plug in 20 for x in the equation (x+11) to find the measure of angle c

20+11=31°

the measure if angle c is 30°