elliskap07
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PLEASE ANSWER QUICK!!! 30 POINTS

The figure has angle measures as shown.
A
19x - 15
26x + 20
D
9x + 25
C
B
What is the measure of ZABD?
O 150°
O 120°
O 70°
O 30°

PLEASE ANSWER QUICK 30 POINTS The figure has angle measures as shown A 19x 15 26x 20 D 9x 25 C B What is the measure of ZABD O 150 O 120 O 70 O 30 class=

Respuesta :

Answer is 150°. Work is attached
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msm555

Answer:

Solution given;

<ABD=<BAC+<ACB

Since exterior angle of a triangle is equal to the sum of two opposite interior angle

26x+20=19x-15+9x+25

solve like terms

26x+20=28x+10

subtracting both by 10

26x+20-10=28x+10-10

Subtracting both side by 26x

10=28x-26x

2x=10

dividing both side by 2

2x/2=10/2

x=5

Now

<ABD=26*5+20=l50°

The value of <ABD is 150°

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