Question

Q-3 Do as directed. (1) Measure of one of the angles of a parallelogram is 70°. What is the measure of its adjacent angle? (2) What is the measure of each of the angle of a rectangle? (3) How many sides does a regular polygon have, if each of its exterior angle is 20"?​

Answer 1

Answer:

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Answer 2

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1) Let us consider one of the adjacent angle as x°

Other adjacent angle = 70°

We know that sum of adjacent angles = 180°

So, x° + 70° = 180°

x° = 180° – 70°

= 110°

2) Measures of the remaining angles are 70°, 70°, 110° and 110°.

3) Each exterior angle of a regular polygon = 20°.

So the polygon has 360/20 = 18 sides.

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