Question

The difference between the measure of an angle x and thrice its complement is 50°. What is the value of x?

• A. ${50}^{\circ }$
• B. ${45}^{\circ }$
• C. ${80}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is C ${80}^{\circ }$

It is given that, the difference between the measure of an angle x and thrice its complement is 50°.
Complement of $x=90°-x$
Since $x$ and thrice its complement differs by 50°, we have,
$x-3(90°-x)=50°$
$x-3\times 90°+3x=50°$
$x+3x=270°+50°$
$4x=320°$
$x=\frac{320°}{4}=80°$
Hence, the value of x is equal to 80°.