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Q.

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


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a

50 °  

b

45 °  

c

36 °  

d

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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