If the measure of angle 3 is equal to $(2x + 6)^{\circ}$ and $x = 7$, which statements are true? Check all that apply.

A. The measure of angle 6 is $20^{\circ}$.
B. The measure of angle 5 is $70^{\circ}$.
C. The measure of angle 2 is [tex]$80^{\circ}$[/tex].

Alright, let's solve this step by step.

1. Determine the measure of angle 3:
- We are given the expression for the measure of angle 3 as $(2x + 6)^{\circ}$.
- We know that $x = 7$, so we substitute $x$ with 7 in the expression for angle 3.
[tex]\[ \text{Measure of angle 3} = 2(7) + 6 = 14 + 6 = 20^{\circ} \][/tex]

2. List the given measures of other angles:
- Measure of angle 6 is $20^{\circ}$.
- Measure of angle 5 is $70^{\circ}$.
- Measure of angle 2 is $80^{\circ}$.

3. Compare the measure of angle 3 with the given angles:
- The measure of angle 3 is $20^{\circ}$.
- We compare this value with the given angles' measures:
- Measure of angle 6 is $20^{\circ}$ $ \Rightarrow $ This statement is true.
- Measure of angle 5 is $70^{\circ}$ $ \Rightarrow $ This statement is false.
- Measure of angle 2 is $80^{\circ}$ $ \Rightarrow $ This statement is false.

4. Identify the true statements:
- The only true statement is: The measure of angle 6 is $20^{\circ}$.

Therefore, the correct answer is:
- The measure of angle 6 is $20^{\circ}$.

The statements "The measure of angle 5 is [tex]$70^{\circ}$[/tex]" and "The measure of angle 2 is [tex]$80^{\circ}$[/tex]" are not true.

If the measure of angle 3 is equal to \((2x + 6)^{\circ}\) and \(x = 7\), which statements are true? Check all that apply.A. The measure of angle 6 is \(20^{\circ}\).B. The measure of angle 5 is \(70^{\circ}\).C. The measure of angle 2 is [tex]\(80^{\circ}\)[/tex].

Answer :

Other Questions

If the measure of angle 3 is equal to \((2x + 6)^{\circ}\) and \(x = 7\), which statements are true? Check all that apply.

A. The measure of angle 6 is \(20^{\circ}\).
B. The measure of angle 5 is \(70^{\circ}\).
C. The measure of angle 2 is [tex]\(80^{\circ}\)[/tex].