Geometry Test

Result

Geometry Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The difference in the measurement of two complementary angles is 12^o. What are the measures of these angles?

A
51^o, 39^o

B
96^o, 84^o

C
32^o, 44^o

D
102^o, 90^o

Solution

Let the two angles be x and x + 12^o.
We know that, sum of two complementary angles = 90^o

Therefore,
x + x + 12^o = 90^o

2x + 12^o = 90^o
2x = 90^o - 12^o

2x = 78^o
x = 39^o

Hence, the angles are 39^o and 39^o + 12^o = 51^o
Question 2
1 / -0

In a pair of two supplementary angles, the measure of the larger angle is 44^o more than the measure of the smaller one. What are the measures of these angles?

A
136^o, 92^o

B
68^o, 112^o

C
136^o, 180^o

D
23^o, 67^o

Solution

Let the smaller angle be x.
Larger angle = x + 44^o

We know that, the sum of two supplementary angles is 180^o.
Therefore, x + x + 44^o = 180^o

2x = 180^o - 44^o = 136^o
x = 68^o

Smaller angle = 68^o
Larger angle = 68^o + 44^o = 112^o