Q16
If the sum and difference of two angles are 135° and 12 respectively, then the value of the angles in degree measure are:
If the sum and difference of two angles are 135° and respectively, then the value of the angles in degree measure are:
A.
70°, 65°
B.
75°, 60°
AnswerC.
45°, 90°
D.
80°, 55°
Answer: Option B
Solution
Answer: Option B
Solution:
∠A + ∠B = 135° . . . . . . . . (i)∠A - ∠B = = 15° . . . . . . . . (ii)
Adding both equation
2∠A = 150°
⇒ ∠A = 75°
∠B = 60°