Question

The measures of two complementary angles are (2x – 7${)}^0$ and (x + 4${)}^0$, then the angles are:

• A. ${45}^0,{45}^0$
• B. ${40}^0,{50}^0$
• C. ${30}^0,{40}^0$
• D. ${35}^0,{55}^0$

Answer 1

The correct option is D ${35}^0,{55}^0$

Given (2x – 7)⁰ and (x + 4)⁰ are two complementary angles We know that, Sum of two complementary angles = 90⁰ Hence, (2x – 7)⁰+ (x + 4)⁰ = 90⁰ 2x – 7 + x + 4 = 90⁰ 3x – 3 = 90⁰ 3x = 90⁰ + 3⁰ 3x = 93⁰ x = 93⁰ / 3 We get, x = 31⁰ Therefore, the angles are, (2x – 7)⁰ = 2(31) – 7 = 55⁰ and

x + 4 = 31 + 4 = 35⁰