Question

∠ and ∠ are complementary angles. If ∠ = (12x - 3)° and ∠ = (7x - 2)°, find the ∠.

Answer 1

Answer:

57 °

Step-by-step explanation:

Complementary angles = 90 °

Since, Your angle don't have ∠ [  ] Then Let let "C" and "y"

Thurs, C = 12x- 3  and y = 7x - 2

It is given that angles r and s are complementary  angles. Two angles are complementary  if they add up to 90 degrees. This means the sum of measures of angle r and angle s must be 90 degrees. So,

c + y = 90

12x - 3 + 7x - 2 = 90

19x - 5 = 90

19x = 95

x = 95/19

x = 5

Using the value of x in expression or r, we get:

c = 12x - 3 = 12(5) - 3 = 60 -3 = 57 degrees.

So measure of angle c is 57 degrees.

Hence, the ∠ is 57 °

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