Question

Ql find the sum and the difference
of the supplementary angle and
the complementary angle of 18°​

Answer 1

Given:

• find the sum and the difference of the supplementary angle and

the complementary angle of 18°

Solution:

$: \implies \red{\bold{complementary \: angle \: of \: 18 }} \\ \\ : \implies \sf 90 - 18 \: \: \: \: \: \: \: \: \: \\ \\ : \implies \sf { \pink{\boxed{72 \degree}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$: \implies \sf {\red{ \bold{supplementary \: angle \: of \: 18}}} \\ \\ : \implies \sf180 - 18 \\ \\ : \implies \sf \pink{ \boxed{162 \degree}} \: \: \: \: \:$

Sum:

➺72°+162°

➺234°

Difference:

➺162-72°

➺90°

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hope this helps.!

Answer 2

Given:

• find the sum and the difference of the supplementary angle and the complementary angle of 18°

Solution:

Now we know that the sum of Complementary angles is 90°

$: \implies \blue{\bold{complementary \: angle \: of \: 18 }} \\ \\ : \implies \sf 90 - 18 \: \: \: \: \: \: \: \: \: \\ \\ : \implies \sf { \orange{\boxed{72 \degree}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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Now we know that sum of supplementary angles is 180°

$: \implies \sf {\blue{ \bold{supplementary \: angle \: of \: 18}}} \\ \\ : \implies \sf180 - 18 \\ \\ : \implies \sf \green{ \boxed{162 \degree}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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now we have to find the sum.!

sum:

⇒72 degrees + 162 degrees

⇒234 degrees

Difference:

⇒162 degrees - 72 degrees

⇒90 degrees

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${\red{\bold{ - @mrcostheta}}}$