34.6k views
4 votes
HELP ASAPPPP. Thanks!!!

HELP ASAPPPP. Thanks!!!-example-1
User Shas
by
7.4k points

1 Answer

6 votes

Answer:

The correct option is (d) that is


\bf \implies{m \angle{EHF} = 31 \degree}

Explanation:

Given:


\bigg( \bf \angle{DHE} \: and \: \angle{EHF} \: are \: \\ \bf{complementary \: angles} \bigg)

To Find:


{ \bf \longrightarrow{m \angle{EHF} = \: ? }}

Solution:

We know that,

  • Two angles are said to be complementary, if the sum of their measures is 90°.
  • Two complementary angles are called the complement of each other.
  • For example :- Angles measuring 55° and 35° are complementary angles because measure of their sum is 90°

According to the question,


\bf \longrightarrow{6x - 1+ 3x + 1 = 90 \degree}


\bf \longrightarrow{6x \cancel{- 1} + 3x \cancel{+ 1 }= 90 \degree}


\bf \longrightarrow{6x + 3x = 90 \degree}


\bf \longrightarrow{9x = 90 \degree}


\bf \longrightarrow{x = \frac{ \cancel{90} \degree}{ \cancel{9}} }10 \degree


\bf \longrightarrow{x = 10 \degree}


{ \bf \longrightarrow{m \angle{EHF} = \: 3 * 10 \degree + 1 \mapsto31 \degree }}

So, the correct option is (d)


\bf \longrightarrow{m \angle{EHF} = 31 \degree}

User Shreevardhan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories