Angles and Polygons

PQR is a straight line.

Find the size of ∠RSQ.

• 56⁰

• 68⁰

• 62⁰

• 112⁰

Calculate the value of x.

• 130⁰

• 135⁰

• 145⁰

• 165⁰

In the diagram, PQR and SQT are straight lines.

Calculate the value of x.

• 72⁰

• 54⁰

• 36⁰

• 18⁰

How many diagonals does the polygon have?

• 3

• 4

• 5

• 7

Answer explanation

180-86-61=33

Find the measure of the third angle in a triangle with two angles measuring 60 degrees each.

Answer explanation

The sum of the angles in a triangle is 180^o

180^o - 60^o - 60^o = 60^o

A quadrilateral's angles are 110^o 80^o50^oWhat is the measurement of the missing angle?Remember that the interior angles of a quadrilateral add up to 360^o .

• 90

• 100

• 130

• 120

Answer explanation

360^o - 110^o - 80^{o -} 50^o = 120^o

Determine the measure of the third angle, without measuring.

• 50

• 55

• 60

• 40

Answer explanation

180^o - 90^o - 40^o = 50^o

Determine the measure of the third angle, without measuring.

• 51

• 57

• 53

• 50

Three angles of a quadrilateral are given. Find the measurement of the fourth angle.