Question

Unit and Dimention question...Please refer to attachment

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Answer 1

Explanation:

5. The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.

\begin{gathered}\begin{gathered}\begin{gathered}\\\\\sf \large \red{\underline{Given:-}}\\\\\end{gathered}\end{gathered} < /p > < p > \end{gathered}

Given:−

</p><p>

The measures of two adjacent angles of a parallelogram are in the ratio 3:2.

\begin{gathered}\begin{gathered}\begin{gathered}\\\\\sf \large \red{\underline{To \: Find:-}}\\\\\end{gathered}\end{gathered} < /p > < p > \end{gathered}

ToFind:−

</p><p>

Find the measure of each of the angles of the parallelogram.

\begin{gathered}\begin{gathered}\begin{gathered}\\\\\sf \large \red{\underline{Solution :- }}\\\\\end{gathered}\end{gathered} < /p > < p > \end{gathered}

Solution:−

</p><p>

\text{ \sf suppose the angles be equal to 3x and 2x} suppose the angles be equal to 3x and 2x

\boxed{ \sf \orange{ we \: have \: ardjacent \: angles \: of \: a \: parallelogram \: = 180}}

wehaveardjacentanglesofaparallelogram=180

\begin{gathered}\begin{gathered}\begin{gathered}\\ \sf \underline{ \green{putting \: all \: values : }}\end{gathered}\end{gathered} \end{gathered}

puttingallvalues:

\begin{gathered}\begin{gathered}\begin{gathered}\: \\ \sf \to \: 3x + 2 x = 180\: \\ \\ \sf \to \: \: \: \: \: \ : \: \: \: \: \:5x = 180 \\ \\ \: \sf \to \: \: \: \: \: \: \: \: \: \: \:x \: = \frac{180}{5} \\ \\ \sf \to \: \: \: \: \: \: \: \: \: \: \:x \: = \cancel{ \frac{180} {5} } \\ \\ \sf \to \: \: \: \: \: \: \: \: \: \: \purple{x = 36}\\\\\end{gathered}\end {gathered} < /p > < p > < /p > < p > < /p > < p > \end{gathered}

→3x+2x=180

→ :5x=180

→x=

5

180

→x=

5

180

→x=36

</p><p></p><p></p><p>

\begin{gathered} < /p > < p > \begin{gathered}\begin{gathered}\sf \to \: 3x \\ \sf \to \: 3 \times 36 \\ \sf \to \red{108 }\\ \\ \\ \sf \to \: 2x \\ \sf \to \: 2 \times 36 \\ \sf \to \orange{72} \\\end{gathered}\end{gathered} \end{gathered}

</p><p>

→3x

→3×36

→108

→2x

→2×36

→72