573589
573589 573589
  • 21-02-2019
  • Mathematics
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What is the measure of a base angle in this figure?

A.41
B.21
C.31
D51

What is the measure of a base angle in this figure A41 B21 C31 D51 class=

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jimthompson5910 jimthompson5910
  • 21-02-2019

Answer: B) 21

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Explanation:

The base angles are congruent in this isosceles trapezoid, so 7x and 4x+9 are equal to each other

Let's solve for x

7x = 4x+9

7x-4x = 4x+9-4x .... subtract 4x from both sides

3x = 9

3x/3 = 9/3 ..... divide both sides by 3

x = 3

If x were equal to 3, then

base angle = 7*x = 7*3 = 21

or

base angle = 4*x+9 = 4*3+9 = 12+9 = 21

Both base angles are 21 degrees each

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