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If two angles of a triangle are complementary then the third angle is

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50 °

45 °

36 °

90 °

answer is D.

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Detailed Solution

It is given that two angles of a triangle are complementary.
We know that the measure of two angles are complementary, if and only if their sum is

90 ° .

Also, we know that the total sum of all the angles in a triangle is equal to

180 ° .

Let

x, y, and z

are the angles of a triangle such that

x and y

are complementary angles.

∴ x + y + z = 180 ° ⇒ 90 ° + z = 180 ° ∵ x + y = 90 ° ⇒ z = 90 °

Hence, the third angle will be

90 ° .

Thus, option (4) is correct.

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