2 angles are supplementary with measures M ABC equal 4X and MBC D. Equals six x plus fifty what is the measure of a b c

1 answer

To find the measure of angle ABC, we need to solve for the value of x. We know that the sum of the measures of two supplementary angles is 180 degrees.

Therefore, 4x + 6x + 50 = 180 degrees.

Combining like terms, we get 10x + 50 = 180 degrees.

Subtracting 50 from both sides, we have 10x = 130 degrees.

Dividing both sides by 10, we find x = 13 degrees.

To find the measure of angle ABC, we substitute the value of x back into the equation:

Measure of ABC = 4x = 4 * 13 degrees = 52 degrees.

Therefore, the measure of angle ABC (M ABC) is 52 degrees.