Question

Find the measure of x in the figure.

Write the equation or you will no get full credits

Answer 1

This is Complementary angle

Measure of Complementary angles is 90°

`\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: + \: 40 \degree \: = \: 90 \degree`

`\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 90 \degree \: - \: 40 \degree`

`\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 50 \degree`

`\bf \large{\purple{ \implies}} \rm \:(x) \: = \: \:\frac{ \cancel{50 \degree} \: ^(25 \degree) }{ \cancel{2 \degree}} \\`

`\bf \large{\purple{ \implies}} \rm \:x \: = \: 25 \degree`