Question

Solve for value of y.

Answer 1

y = 6

Explanation:

So, the two angles sum up to 90 degrees.

Based on that, form an equation;

6y + 5 + 8y + 1 = 90

simplify,

6y + 5 + 8y + 1 = 90

14y + 6 = 90

inverse operations,

14y + 6 = 90

-6 -6

14y = 84

/14 /14

y = 6

Answer 2

y = 6

General Formulas and Concepts:

A box at an angle signifies a 90° angle.

• The 2 angles that add up to 90° are called Complementary Angles

Explanation:

Step 1: Set up equation

The 2 angles are Complementary Angles. They must add up to 90°.

(6y + 5) + (8y + 1) = 90

Step 2: Solve for y

1. Combine like terms: 14y + 6 = 90
2. Subtract 6 on both sides: 14y = 84
3. Divide both sides by 14: y = 6