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Roman55 [17]
3 years ago
6

Complementary and

Mathematics
2 answers:
ipn [44]3 years ago
7 0

Answer:

The measurement of x is <u>42⁰</u>.

Step-by-step explanation:

<u>SOLUTION</u> :

Here, we can see that the given figure is complementary angle.

As we know that two angles are said to be complementary angles if they add up to 90 degrees.

<u>Now, according to the question</u> :

\longmapsto{\sf{Sum \:  of \:  two  \: angles =  {90}^{ \circ}}}

\longmapsto{\sf{Angle_1 + Angle_2  =  {90}^{ \circ}}}

\longmapsto{\sf{{48}^{ \circ}  + {x}^{\circ}  =  {90}^{ \circ}}}

\longmapsto{\sf{{x}^{\circ}  =  {90}^{ \circ} -  {48}^{\circ} }}

\longmapsto{\sf{{x}^{\circ}  = {42}^{\circ} }}

\star{\underline{\boxed{\sf{\pink{{x}^{\circ}  = {42}^{\circ}}}}}}

Hence, the measurement of x is 42⁰.

\rule{300}{2.5}

chubhunter [2.5K]3 years ago
5 0

Answer:

\boxed{\boxed{\sf x=42\°}}

Step-by-step explanation:

Given the diagram, we can see that ∠PQR and ∠RQS are complementary angles.

*Two angles with measures that add up to 90° are known as Complementary angles.*

Therefore, m∠PQR+m∠RQS=90°

\sf \angle PQR+\angle RQS=90\°

\sf 48+x=90\°

Subtract 48 from both sides:

\sf 48+x-48=90-48

\sf x=42\°

<u>_______________________________</u>

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