Question

The m∠1=73∘, m∠STU=110∘, find m∠2.
a) 177°
b) 187°
c) 193°
d) 207°

Answer 1

The measure of
`\( \angle 2 \)` is b) 187°.

Step-by-step explanation:

To find
`\( \angle 2 \),` we can use the Angle Addition Postulate, which states that the measure of an angle formed by two adjacent angles is the sum of their measures. In this case,
`\( \angle 1 \) and \( \angle STU \)` are adjacent angles that form
`\( \angle 2 \).` According to the given information,
`\( \angle 1 = 73^\circ \)` and
`\( \angle STU = 110^\circ \).`

`\[ \angle 2 = \angle 1 + \angle STU \]`

`\[ \angle 2 = 73^\circ + 110^\circ \]`

`\[ \angle 2 = 183^\circ \]`

Therefore, the measure of
`\( \angle 2 \) is \( 183^\circ \).` Now, we need to choose the closest option from the provided choices. Among the options,
`\( b) 187° \)`is the closest value to
`\( 183^\circ \),` making it the correct choice for the measure of
`\( \angle 2 \).`

Hence, the final answer is b) 187°.