Question

The measures of two complementary angles are (2x - 7)º and (x + 4)º. Find the value of X​

Answer 1

Answer:

x=29

Step-by-step explanation:

both angles are complementary, therefore

(2x-7)°+(x+4)°=90°

2x-7+x+4=90

3x-3=90

3x=90-3

3x=87

x=87/3

x=29

Answer 2

Given

∠A = (2x - 7)⁰

∠B = (x + 4)⁰

To Find

The Value of x

We Know that sum of two complementary angle is 90⁰

2x - 7 + x + 4 = 90⁰

3x - 3 = 90⁰

3x = 90 + 3

3x = 93

x = 93/3

x = 31

Now we can

∠A = (2x - 7)⁰

∠A=(2×31 - 7)⁰

∠A=(62 - 7)⁰

∠A= 55⁰

∠B = (x + 4)⁰

∠B = (31 + 4)⁰

∠B = 35⁰

Now check our answers

∠A + ∠B =.90⁰

55⁰ + 35⁰ = 90⁰

90⁰ = 90⁰

LHS = RHS