Question

∠EDC = 2y + 10°, ∠C = 110°. ∴ The value of y is ______.

Options

• 40°

• 50°

• 30°

• 45°

Answer 1

∠EDC = 2y + 10°, ∠C = 110°. ∴ The value of y is 50°.

Explanation:

Step 1: Set up the equation

Based on the assumption that the two angles are equal, we can write:

∠EDC = ∠C

Substitute the given expressions for the angles:

2y + 10° = 110°

Step 2: Solve for y

Subtract 10° from both sides of the equation:

2y = 110° – 10°

2y = 100°

Divide both sides by 2:

`y = 100^circ/2`

y = 50°