Question

An
angle is 21 more than twice its complement.find it.

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Answer 1

Answer:

i.24 and ii.22.5

Step-by-step explanation:

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Answer 2

Answer:

Concept:

• When two angles are added together, complementary and supplementary angles are defined.
• Two angles that add up to 90 degrees are said to have complementary angles. When two angles add up to 90 degrees, however, they are said to be complimentary angles and together they make a right angle.
• Two angles are said to be supplementary angles because they combine to generate a linear angle when their sum is 180 degrees.

Step-by-step explanation:

To find:

An angle $\theta= 21+ 2(complement)$

Solution:

• Let $p'$ be the complement of angle $p$.

• From given statement,

                             $p=2p'+21$       ⇒  A

• As $p$ and $p'$ are complement to each other,

                               $p+p'=90$     ⇒ B

• Substitute the  value of $p$ from A in B,

                               $2p'+21+p'=90$

                                      $3p'+21=90$

                                              $3p'=90-21$

                                               $3p'=69$

                                                  $p'=\frac{69}{3}$

                                                  $p'=23$      

• The complement angle is $23^{\circ}$. On substituting this value in B,

                                               $p+23 =90$

                                                       $p=90-23$

                                                       $p=67$

Hence, the angle and its complement are $67^{\circ}$  and $23^{\circ}$

                       

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