Question

plzz answer it correctly​

Answer 1

Answer:

Angle B measures 60° What is the measure of the angle that is complementary to angle B?

a. 30°

Angles 1 and 2 form a right angle.

Which word describes their measures?

c. complementary

Figure LMNO is a parallelogram.

Angles L and M are supplementary. What is the sum of their measures?

The sum of the measures of angles L and M is _______.

180°

Answer 2

Answer:

\begin{gathered}\huge\mathcal{\mid{\mid{\underline{\purple{Good\: Afternoon\:}}}{\mid{\mid}}}} \\ \end{gathered}

∣∣

GoodAfternoon

∣∣

Qᴜᴇsᴛɪᴏɴ ;-

❥︎ If \bf{\sin\theta\:+\:\cos\theta\:=\:\sqrt{2}\:\cos\theta\:}sinθ+cosθ=

2

cosθ , then find the value of \bf{\tan\theta}tanθ .

\begin{gathered}\huge{\orange{\boxed{\fcolorbox{cyan}{indigo}{\color{lime}ANSWER}}}} \\ \end{gathered}

ANSWER

\begin{gathered}\pink\longmapsto\:\:\bf\blue{\sin\theta\:+\:\cos\theta\:=\:\sqrt{2}\:\cos\theta\:} \\ \end{gathered}

⟼sinθ+cosθ=

2

cosθ

\begin{gathered}\longmapsto\:\:\sf\pink{\sin\theta\:=\:\sqrt{2}\:\cos\theta\:-\:\cos\theta\:} \\ \end{gathered}

⟼sinθ=

2

cosθ−cosθ

\begin{gathered}\longmapsto\:\:\sf\orange{\sin\theta\:=\:\Big(\sqrt{2}\:-\:1\Big)\:\cos\theta\:} \\ \end{gathered}

⟼sinθ=(

2

−1)cosθ

\begin{gathered}\longmapsto\:\:\sf\purple{\dfrac{\sin\theta}{\cos\theta}\:=\:\Big(\sqrt{2}\:-\:1\Big)\:} \\ \end{gathered}

⟼

cosθ

sinθ

=(

2

−1)

\Large\bf\pink{We\: know\: that},Weknowthat,

\bf\red{\dfrac{\sin\theta}{\cos\theta}\:=\:\tan\theta}

cosθ

sinθ

=tanθ

\begin{gathered}\pink\longmapsto\:\:\bf\green{\tan\theta\:=\:\Big(\sqrt{2}\:-\:1\Big)\:} \\ \end{gathered}

⟼tanθ=(

2

−1)