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In quadrilateral ABCD shown below it is known that BC is perpendicular CD, angle A=5x+12, and angle C=7x-36. Given this information, which of the following is the degree measure of angle A? ​

In quadrilateral ABCD shown below it is known that BC is perpendicular CD angle A5x12 and angle C7x36 Given this information which of the following is the degre class=

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Answer:

m∠A = 102°

Step-by-step explanation:

In quadrilateral ABCD, BC is perpendicular to CD

m∠BCD = 90°

(7x - 36) = 90°

7x = 90 + 36

7x = 126

x = 18

Since, m∠A = (5x + 12)

Therefore, m∠A = (5×18) + 12

                           = 90 + 12

                           = 102°

Measure of angle A = 102°

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