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Question

27:41

Question

The sum of the measure of angle M and angle L is 116°.

The measure of angle M is 50°.

The measure of angle L is (7x – 4)°.

What is the value of x?
Responses

A 1010

B 1212

C 1515

D 20

Answer 1

To solve for the value of \( x \), we start with the information given:

• The measure of angle M is \( 50^\circ \).
• The measure of angle L is \( (7x - 4)^\circ \).
• The sum of the measures of angle M and angle L is \( 116^\circ \).

We can write the equation as follows:

\[ 50 + (7x - 4) = 116 \]

Now, simplify the equation:

\[ 50 + 7x - 4 = 116 \]

\[ 46 + 7x = 116 \]

Next, subtract \( 46 \) from both sides:

\[ 7x = 116 - 46 \]

\[ 7x = 70 \]

Now, divide both sides by \( 7 \):

\[ x = \frac{70}{7} \]

\[ x = 10 \]

Thus, the value of \( x \) is \( 10 \).

The correct answer is:

A. 10