Question

The sum of the measures of the angles shown is 90°.
(5x)
(7x + 6)
10. Write an equation to determine the value of x.
11. Find the value of x.

Answer 1

Answer:

10). 5x + (7x + 6) = 90

11). x = 7

Step-by-step explanation:

From the picture attached,

Sum of given angles measures 90°

Measures of the angles are (5x)° and (7x + 6)°

Therefore, equation to determine the values of x will be,

5x + (7x + 6) = 90

By combining similar terms of the equation,

12x + 6 = 90

12x = 90 - 6

12x = 84

x = $\frac{84}{12}$

x = 7

Therefore, by solving the equation value of x will be 7.