Question

Q1. Anangleofaparallelogrammeasures70degree.Findthemeasureofremainingthree

angles.

Q2. OneangleofaQuadrilateralis111degreeandtheremainingthreeanglesareequal.Find

theseangles.

Q3. Findthemeasureofaninteriorangleofaregularpolygonhaving15sides.

Q4. Ifanexteriorangleofaregularpolygonis45degreesthenfindthenumberofsides.​

Answer 1

Answer:

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Answer 2

Answer: 1. In parallelogram abcd. Let a be 70 degree.

Then c=a=70.

Sum of angles=360

Sum of b and d=220

B=d=220/2=110

2. Sum of angles of a quadrilateral=360

111+rem.3 angles=360

111+x+x+x=360

3x=360-111=249

X=249/3=83

3)Sum of interior angles=(n-2)*180

=13*180=2340

Measure of each angle=2340/15=156

4)Measure of each ext. angle=360/n

360/n=45

n=360/45=8