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HELP!! (Find angles ADB & BAC)

L
124*
71°
A
(7x-4)° 4
D
E
61
C (2x +26)
*m/DAB = 112°
B
Find mZADB
Find m/BAC
E

HELP!! (Find angles ADB & BAC) L 124* 71° A (7x-4)° 4 D E 61 C (2x +26) *m/DAB-example-1

1 Answer

1 vote

The measure of m<ADB is 38 degrees

To determine the measure of the angle, we have to know the following;

  • Alternating angles are equal
  • Corresponding angles are equal
  • Angles on a straight line is 180 degrees

Then, from the diagram shown, we have that;

7x - 4 = 2x + 26

collect like terms

7x - 2x = 26 + 4

add the like terms

5x = 30

Divide by the coefficient

x = 6

Then, we have;

7(6) - 4

42 - 4 = 38 degrees

User Jonathan Lin
by
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