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The sum of the measure of angle M and angle L is 90°.

The measure of angle M is 37°.

The measure of angle L is (3x + 5)°.

What is the value of x?
Responses
A 1818
B 2020
C 1616
D 1010
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1 answer

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

  1. The sum of the measures of angle \( M \) and angle \( L \) is \( 90° \): \[ M + L = 90° \]

  2. The measure of angle \( M \) is \( 37° \): \[ M = 37° \]

  3. The measure of angle \( L \) is given as \( (3x + 5)° \): \[ L = 3x + 5 \]

Now we can substitute the values of \( M \) and \( L \) into the equation: \[ 37° + (3x + 5)° = 90° \]

Now, simplify the equation: \[ 37 + 3x + 5 = 90 \] \[ 42 + 3x = 90 \]

Next, isolate \( 3x \) by subtracting \( 42 \) from both sides: \[ 3x = 90 - 42 \] \[ 3x = 48 \]

Now, divide both sides by \( 3 \) to solve for \( x \): \[ x = \frac{48}{3} = 16 \]

So, the value of \( x \) is \( 16 \).

Thus, the answer is: C. 1616.