Two complementary angles are such that two times the measure of one is

1.	Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle isA. 45°B. 30°C. 36°D. None of these
Answer» Let x and (90° – x) be two complimentary angles According to question, 2x = 3 (90° – x) 2x = 270° – 3x x = 54° The angles are: 54° and 90° – 54° = 36° Thus, smallest angle is 36°

Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle isA. 45°B. 30°C. 36°D. None of these

Answer»

Let x and (90° – x) be two complimentary angles

According to question,

2x = 3 (90° – x)

2x = 270° – 3x

x = 54°

The angles are:

54° and 90° – 54° = 36°

Thus, smallest angle is 36°