Question

A Parallelogram has one angle that measures 10°. What are the measures of the other three angles in the parallelogram?

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Answer 1

10, 170, 170

Explanation:

Opposite angles of parallelogram are equal

Consecutive angles in a parallelogram are supplementary (add 180°)

Interior angles in a quadrilateral add up to 360°.

10+10=20 (2 opposite angles of 10 each)

360-20= 340

340/2 = 170 (2 opposite angles of 170)

10+170 = 180 (2 consecitive angles supplementary)

10+10+170+170=360

Answer 2

given:

one angle= 10°

to find:

the remaining 3 angles.

solution:

angle sum= 360°

2x10=20

360–20=340

340/2=170

so, the remaining 3 angles are 10, 170 and 170.