Question

Geometry:
Find the measure of angle B. 120, 22x+4, 15x+5

Answer 1

To find the measure of angle B, set up an equation using the information given, solve for x, and substitute it back into the expression for angle B. The measure of angle B is 33.3256 degrees.

Step-by-step explanation:

To find the measure of angle B, we need to set up an equation using the information given. The sum of the angles in a triangle is always 180 degrees. So, we can write the equation: 120 + (22x+4) + (15x+5) = 180. Now let's solve for x:

1. Combine like terms: 120 + 22x + 4 + 15x + 5 = 180
2. Combine constants: 129 + 37x = 180
3. Subtract 129 from both sides: 37x = 51
4. Divide both sides by 37: x = 1.3784 (rounded to four decimal places)

Now that we have the value of x, we can substitute it back into the expressions for angle B:

• Angle B = 22x + 4 = 22(1.3784) + 4 = 29.3256 + 4 = 33.3256 degrees

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