Question

Help pls!

In the diagram below, the measure of angle CAD is equal to 5 − 14 and the measure of angle DAB is equal to 6 + 12. If the measure of angle CAB is 130°, what is the measure of angle DAB?

Answer 1

∠ DAB = 84°

Explanation:

∠ CAD + ∠ DAB = ∠ CAB ( substitute values )

5x - 14 + 6x + 12 = 130

11x - 2 = 130 ( add 2 to both sides )

11x = 132 ( divide both sides by 11 )

x = 12

Then

∠ DAB = 6x + 12 = 6(12) + 12 = 72 + 12 = 84°

Answer 2

84

Explanation:

We can use angle addition

<CAB = < CAD + < DAB

130 = 5x-14 + 6x+12

Combine like terms

130 = 11x-2

Add 2 to each side

130+2 = 11x-2+2

132 = 11x

Divide each side by 11

132/11 = 11x/11

12= x

We want to find <DAB

< DAB = 6x+12

=6*12 + 12

= 6(12)+12

= 72+12

= 84