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Find the measures of HAB and CAB

Find the measures of HAB and CAB-example-1
User William Denman
by
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1 Answer

13 votes
13 votes

Answer:

AngleCAB = 44°

AngleHAB = 66°

Explanation:

AngleEAF is a right angle, equal to 90°.

EH and DC are just two intersecting lines. They form a couple of pairs of vertical angles. Vertical angles are equal to each other. We'll use the vertical angles, AngleEAD and CAH.

Angle EAD and CAH are equal to each other.

EAD = CAH

90°+20° = 2x + 3x

Combine like terms.

110° = 5x

Divide by 5

110/5 = x

22 = x

Angle CAB

= 2x

= 2(22)

= 44

AngleCAB = 44°

AngleHAB

= 3x

= 3(22)

= 66

AngleHAB = 66°

User Ganpat Kaliya
by
3.0k points