Question

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Answer 1

Step-by-step explanation:

1. Exterior angle = 360°/No. of sides

= 360°/18

= 20°

2. Let one angle of ||gram =7x

other angle of || gram = 11x

As we know that opposite angles of || gram are equal

so other two angles = 7x and 11x

sum of angles of ||gram is 360°

7x+11x+7x+11x=360°

36°x =360°

x = 360/36

= 10

so measure of angles are 7×10 =70° & 11×10=110°

3. As ABCD is a parallelogram

and opposite angle of parallelogram are equal

so y°=110°

& x° =z°

By angle sum property of parallelogram

x°+y°+z+110°=360°

x°+110°+x+110°=360°

2x+220° =360°

2x. =360°-220°

x. = 140°/2

x. = 70°

so z = 70°

4. Let fourth angle = x°

Three angles = 55°, 65° ,115°

As we know that sum of angles of quadrilateral is 360°

so x°+55°+65°+115° =360°

x° +235° =360°

x°. =360°-235°

x°. =125°

so fourth angle = 125°

5. Regular Polygon : Polygon is a closed curve made by line segment and regular polygon whose all sides measure is equal.

Regular Polygon having six sides is hexgon.