The difference of the two complementary angle is 50°, then what is th

1.	The difference of the two complementary angle is 50°, then what is the measure of the greater angle?1. 20° 2. 70° 3. 65° 4. 25°
Answer» Correct Answer - Option 2 : 70° Given: The difference between the two complementary angles = 50° Concept used: Complementary angle:- The sum of two angles is 90° Calculation: Let the two angles be x and y respectively A/Q x + y = 90 -----(i) x - y = 50 ------(ii) By adding both equations (i) and (ii) x + y + x - y = 90 + 50 ⇒ 2x = 140 ⇒ x = 70 By substituting value of x in equation in eq. (i) x + y = 90 ⇒ 70 + y = 90 ⇒ y = 90 - 70 ⇒ y = 20° Hence, x > y ∴ The greater angle is 70°

The difference of the two complementary angle is 50°, then what is the measure of the greater angle?1. 20° 2. 70° 3. 65° 4. 25°

Answer» Correct Answer - Option 2 : 70°

Given:

The difference between the two complementary angles = 50°

Concept used:

Complementary angle:- The sum of two angles is 90°

Calculation:

Let the two angles be x and y respectively

A/Q

x + y = 90 -----(i)

x - y = 50 ------(ii)

By adding both equations (i) and (ii)

x + y + x - y = 90 + 50

⇒ 2x = 140

⇒ x = 70

By substituting value of x in equation in eq. (i)

x + y = 90

⇒ 70 + y = 90

⇒ y = 90 - 70

⇒ y = 20°

Hence, x > y

∴ The greater angle is 70°