Question

The m<6 (11x 8) and m<7 =( 12x-4). what is the measure of <4 a) 28 degrees

b) 32 degrees
c) 36 degrees
d) 40 degrees

Answer 1

To find the measure of <4, solve the equation 11x + 8 = 12x - 4 to find the value of x. Substitute x = 12 into the expression for <6 or <7 to find the measure of <4, which is 140°.

Step-by-step explanation:

To find the measure of <4, we need to use the given information about the measures of <6 and <7. Since <6 and <7 are corresponding angles, they are equal in measure. Therefore, we can set up the equation 11x + 8 = 12x - 4 to find the value of x.

Simplifying the equation, we get 8 + 4 = 12x - 11x. This gives us 12 = x. Now, we can substitute this value back into one of the expressions for <6 or <7 to find the measure of <4.

Let's substitute x = 12 into the expression for <6: 11x + 8. Plugging in the value, we get 11(12) + 8 = 132 + 8 = 140°. Therefore, the measure of <4 is 140°.