Question

□ABCD is cyclic. If ∠A =(7y - 21) ° and ∠C = (4y+3)° . Find measure of ∠A.​

Answer 1

Answer:

101degree

Step-by-step explanation:

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Answer 2

Given:

• ABCD is cyclic.
• value of ∠A = (7y - 21)°
• value of ∠C = (4y + 3)°

To Find: the measure of ∠A?

explanation:

As we know that consecutive angles are supplementary

so,

                      ∠A+∠B = 180°

                      ∠D+∠C = 180°

then, the difference between the angle between A and B will be  equals to zero,

                     ∠A - ∠C = 0

Putting the value of ∠A and ∠C

                   $(7y - 21) - (4y + 3) = 0$

                         $7y - 21 - 4y - 3 = 0$

                                       $7y - 4y = 24$

                                               $3y = 24$

                                                 $y = \frac{24}{3}$

                                                 $y = 8$

Now, to find the value of ∠A, we will putting the value y = 8, into,

                                               ∠A = 7y - 21

                                               ∠A = 7×8 - 21

                                                ∠A = 35°

Hence the value of ∠A is 35.°