Answer :
To find the measure of angle 3 given that the expression for the angle is [tex]\((2x + 6)^\circ\)[/tex] and [tex]\(x=7\)[/tex], we proceed as follows:
1. Start with the expression for the angle:
[tex]\[ \text{Measure of angle 3} = (2x + 6)^\circ \][/tex]
2. Substitute the given value of [tex]\(x\)[/tex], which is [tex]\(7\)[/tex], into the expression:
[tex]\[ (2 \cdot 7 + 6)^\circ \][/tex]
3. Perform the multiplication first:
[tex]\[ 2 \cdot 7 = 14 \][/tex]
4. Add 6 to the product:
[tex]\[ 14 + 6 = 20 \][/tex]
5. Therefore, the measure of angle 3 is:
[tex]\[ 20^\circ \][/tex]
Given this result, the statements that are true regarding the measure of angle 3 being [tex]\(20^\circ\)[/tex] should be identified.
1. Start with the expression for the angle:
[tex]\[ \text{Measure of angle 3} = (2x + 6)^\circ \][/tex]
2. Substitute the given value of [tex]\(x\)[/tex], which is [tex]\(7\)[/tex], into the expression:
[tex]\[ (2 \cdot 7 + 6)^\circ \][/tex]
3. Perform the multiplication first:
[tex]\[ 2 \cdot 7 = 14 \][/tex]
4. Add 6 to the product:
[tex]\[ 14 + 6 = 20 \][/tex]
5. Therefore, the measure of angle 3 is:
[tex]\[ 20^\circ \][/tex]
Given this result, the statements that are true regarding the measure of angle 3 being [tex]\(20^\circ\)[/tex] should be identified.
