Question

Two complementary Angles differ By 12 degrees,find the angles​

Answer 1

Answer:

51° and 39° are the angles.

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Answer 2

❣️${\huge{\pink{\mathbb{\underline{\underline{QUESTION}}}}}}$❣️

• Two complementary Angles differ By 12 degrees,find the angles.

❣️${\pink{\mathbb{\underline{\underline{IMPORTANT\ POINTS}}}}}$❣️

• Two angles are said to be complementary when it sum is 90°
• Two angles are said to be supplementary when it sum is 180°❣️

${\huge{\pink{\mathbb{\underline{\underline{SOLUTION}}}}}}$❣️

✈${\red{\mathfrak{\underline{Given}}}}$✈

Two complementary angles differ by 12°.

✈${\red{\mathfrak{\underline{To\ find}}}}$✈

Measure of two different angles=??? and ???

✈${\red{\mathfrak{\underline{Answer}}}}$✈

Let the two angles be x° and (x-12)°

⠀⠀⠀⠀⠀⠀⠀⠀⠀

According to the condition;

Sum of complementary angles=90°

=>x+(x-12)=90

=>2x-12=90

=>2x=90+12

=>x=$\frac{102}{2}$

=>x=51°

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Two angles are x and x-12

⠀⠀⠀⠀⠀⠀⠀⠀⠀=>51 and (51-12)

⠀⠀⠀⠀⠀⠀⠀⠀⠀=>51° and 39°

⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\blue{So,\ the\ answer\ is\ 51°\ and\ 39°}$