Question

An angle is ${34}^o$ less than its supplement. The measure of the angle is

• A. ${37}^o$
• B. ${74}^o$
• C. ${148}^o$
• D. None of these

Answer 1

Answer: (D)

None of these

Let the measure of the angle be $x^o$ and

the measure of its supplement be $(x+34{)}^o$.

Then,

$⟹x$ = ${180}^o-(x+34{)}^o$

$⟹x+x$ = ${146}^o$

$⟹2x$ = ${146}^o$

$⟹x$ = ${146}^o/2$

$⟹x$ = ${73}^o$

Hence, the supplement of the given angle measures ${73}^o$.