Question

(a) A pair of adjacent angles of a parallelogram is such that one is 24° less than twice the other. Find the pair​

Answer 1

Step-by-step explanation:

"Let the parallelogram be ABCD. Here <A is say = 2<B- 24.

<A + <B = 180, or

<B + 2<B- 24 = 180, or

3<B = 180+24 = 204

Therefore <B = 204/3 = 68 deg and <A = 180–68 = 112 deg.

Check: <A should be 2*68 - 24 = 136 - 24 = 112 deg. Correct

One pair of adjacent angles is 112 deg and 68 deg, which is the same as the other pair. "

Answer 2

Step-by-step explanation:

Also, the opposite angles of a parallelogram are equal.

Therefore, the four angles become x,(2x - 24) ,x and(2x - 24).

Thus, the largest angle of the parallelogram are is 112°.

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Answer 3

Step-by-step explanation:

Also, the opposite angles of a parallelogram are equal.

Therefore, the four angles become x,(2x - 24) ,x and(2x - 24).

Thus, the largest angle of the parallelogram are is 112°.

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$= = = = = = = = = = = = = =$

$= = = = = = = = = = = = = =$

$= = = = = = = = = = = = = =$

Answer 4

Step-by-step explanation:

Also, the opposite angles of a parallelogram are equal.

Therefore, the four angles become x,(2x - 24) ,x and(2x - 24).

Thus, the largest angle of the parallelogram are is 112°.

$= = = = = = = = = = = = = =$

$= = = = = = = = = = = = = =$

$= = = = = = = = = = = = = =$

$= = = = = = = = = = = = = =$