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A figure containing
/_MNO is dilated by a scale factor of
(1)/(4) to form a new figure which contains
/_M^(')N^(')O^(')./_M^(')N^(')O^(') measures
44^(@). What is the measure of
/_MNO ?
Answer:
m/_MNO=

A figure containing $\angle M N O$ is dilated by a scale factor of $\frac{1}{4}$ to form a new figure which contains $\angle M^{\prime} N^{\prime} O^{\prime} . \angle M^{\prime} N^{\prime} O^{\prime}$ measures $44^{\circ}$ . What is the measure of $\angle M N O$ ? $\newline$ Answer: $\mathrm{m} \angle M N O=$

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Find trigonometric ratios using reference angles

Full solution

Q. A figure containing

\angle M N O

is dilated by a scale factor of

\frac{1}{4}

to form a new figure which contains

\angle M^{\prime} N^{\prime} O^{\prime} . \angle M^{\prime} N^{\prime} O^{\prime}

measures

44^{\circ}

. What is the measure of

\angle M N O

?

\newline

Answer:

\mathrm{m} \angle M N O=

Understand Relationship of Angles: Understand the relationship between the angles of the original figure and the dilated figure. $\newline$ Dilation does not change the measure of angles. Therefore, the measure of $\angle MNO$ is equal to the measure of $\angle M'N'O'$ .
Identify Given Measure: Identify the given measure of the dilated angle. $\newline$ The problem states that $\angle M'N'O'$ measures $44$ degrees.
Determine Angle Measure: Determine the measure of $\angle MNO$ using the information from Step $1$ . $\newline$ Since the measure of angles is preserved under dilation, the measure of $\angle MNO$ is also $44$ degrees.

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