IMOClass 7 › Chapter Test

Lines & Angles — Chapter Test

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Q1
Complementary angles add up to ___ ?
Complementary angles add to 90°.
Q2
Supplementary angles add up to ___ ?
Supplementary angles add to 180°.
Q3
Vertically opposite angles are always ___ ?
Vertically opposite angles are equal.
Q4
The angles of a triangle add up to ___ ?
The angle sum of a triangle is 180°.
Q5
What is the complement of 35°?
90 − 35 = 55°.
Q6
What is the supplement of 125°?
180 − 125 = 55°.
Q7
Two angles form a linear pair and one is 70°. What is the other?
180 − 70 = 110°.
Q8
Two angles of a triangle are 50° and 60°. What is the third?
180 − 50 − 60 = 70°.
Q9
Two angles of a triangle are 90° and 30°. What is the third?
180 − 90 − 30 = 60°.
Q10
Two lines cross and one angle is 115°. What is its vertically opposite angle?
Vertically opposite angles are equal, so 115°.
Q11
A ramp makes a 40° angle with the floor. What is its complement?
90 − 40 = 50°.
Q12
Two angles lie on a straight line; one is 65°. What is the other?
180 − 65 = 115°.
Q13
The angles of a triangle are in the ratio 1 : 2 : 3. What is the largest angle?
Parts = 6; 180 ÷ 6 = 30, so angles are 30°, 60°, 90° — the largest is 90°.
Q14
An angle is equal to its own complement. What is the angle?
If x = 90 − x, then 2x = 90, so x = 45°.
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