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as shown, several parallelograms are formed in an expandable gate. The angles of the parallelograms change as the gate is expanded and compressed. Find m

as shown several parallelograms are formed in an expandable gate The angles of the parallelograms change as the gate is expanded and compressed Find m class=

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shravsassy101

Answer:

m = 145

Step-by-step explanation:

All angles inside a parallelogram = 360

∠ABC = ∠ADC

35 = ∠ADC

360 = 2(∠ABC) + 2( ∠DAB)

360 = 70 + 2( ∠DAB)

290 = 2( ∠DAB)

145 = ∠DAB

The adjacent angle of the parallelogram are supplementary angles. If the angle ∠ABC is 35°. Then the angle ∠DAB will be 145°.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

In the parallelogram ABCD, the angle ∠ABC is 35°.

We know that adjacent angle of the parallelogram are supplementary angles.

∠ABC + ∠DAB = 180°

35° + ∠DAB = 180°

∠DAB = 180° – 35°

∠DAB = 145°

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ2

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