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ANSWER QUICK PLEASE! In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?

ANSWER QUICK PLEASE! In the figure, angle D measures 71° and angle G measures 37°. What-example-1
User Subsub
by
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2 Answers

2 votes

Answer:

34

Explanation:

User Suelee
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4 votes

Answer:

34°

Explanation:

You know the following relationships are true:

  • A+C = 90
  • G+E = 90
  • C+D+E = 180

Using the first two equations, you can write expressions for C and E, then substitute those into the last equation:

C = 90 - A

E = 90 - G

(90 -A) + D + (90-G) = 180

A = D - G . . . . . . . add A-180 to both sides

A = 71° -37°

A = 34°

User Paolo Moretti
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7.5k points