Math, asked by pandyaamita786, 6 hours ago

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°?​

Answers

Answered by irshadnissar77
1

Answer:

(1) 110°

(2)90°

(3)18 sides

Step-by-step explanation:

(1) Given,

∠x= 70°

Solution,

Consider the two adjacent angles of a parallelogram are x and y.

The sum of two adjacent angle is 180°            

∠x+∠y= 180°

70°+∠y= 180°

∠y=180°-70°=110°  

Hence the adjacent angle is 110°

(2)Since a rectangle has four angles of equal measure, the measure of each must be 360/4, or 90 degrees.

(3) 360/20=18 sides

Each exterior angle of a regular polygon = 20 deg.

So the polygon has 360/20 = 18 sides.

Hope it helps you

Mark me as the brainiest

Thankyou•

Similar questions