English, asked by dbgindracycle78, 3 months ago

In a parallelogram ABCD find the measure of all the angles if one its angles is 15° less than twice the smallest angle.​

Answers

Answered by nikhil3155
1

Answer:

parallelogram ABCD,

Let ∠A be x. Then, ∠B will be 2x−15

o

We know that, in a parallelogram sum of adjacent angles are supplementary.

∴ ∠A+∠B=180

o

⇒ x+2x−15

o

=180

o

⇒ 3x=195

o

⇒ x=65

o

.

∴ ∠A=65

o

⇒ ∠B=2x−15

o

=2×65

o

−15

o

=115

o

.

We know that, in parallelogram opposite angles are equal.

∴ ∠A=∠C and ∠B=∠D

∴ ∠C=65

o

and ∠D=115

o

.

∴ The measure of all angles of a parallelogram are 65

o

,115

o

,65

o

and 115

o

Answered by atul0007
2

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