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UPTET Paper 1 2016 Solved Paper

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Question : 109 of 150

Marks: +1, -0

The complement of the supplement of 138° is

42°
48°
38°
90°

Solution:

Concept:

Two angles are supplementary if their sum is

180^\circ

. Two angles are complementary if their sum is

90^\circ

.

Explanation:

First, find the supplement of

138^\circ

:

180^\circ - 138^\circ = 42^\circ

.

Then, find the complement of

42^\circ

:

90^\circ - 42^\circ = 48^\circ

.

Thus, the complement of the supplement is

48^\circ

.

Answer:

B. 48°

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