Question

Tell whether the angles are adjacent or vertical. The find the value of x.

Answer 1

They’re adjacent angles

They’re the complementary angles so they add up to 90°

3x + 2x = 90°

5x = 90°

Divide each side by 5

x= 18

Answer 2

x = 18°

Explanation:

Adjacent angles:

Two angles are adjacent if they have a common arm and a common vertex.

Complementary angles:

Two angles are complementary, if they add up to 90°.

These angles in the figure are adjacent angles as they have a common arm. The adjacent angles are complementary.

3x + 2x = 90

Combine like terms,

5x = 90

Divide both sides by 5,

x = 90 ÷ 5

`\boxed{\bf x = 18^\circ}`