Question

Find the measures of all of the angles.

1. ∠ABC =
2. ∠BCA =
3. ∠CAB =

Answer 1

1. ∠ABC =60

2. ∠BCA =90

3. ∠CAB =30

Explanation:

3 angles will equal 180 deg.

the right angle is 90 degrees, always.

so (90) + (5x) + (9x+6) = 180

combine like terms

14x + 96 = 180

move like terms to isolate x

14x = 180-96

14x = 84

divide both sides by 14 to isolate x

x = 6

∠CAB = 5x replace 6 for x, = 30

∠ABC = 9x+6, replace 6 for x = (9*6) + 6, = 60