Question

A 80° angle straight line is formed by two adjacent angles. One angle has a measure of 2X +3 and the other has a measure of X -6 what are the measures of the two angles that make up the straight line would it be 186 and 88 or 129 and 51 or 125 and 55 or 121 and 59

Answer 1

To find the measures of the two angles that make up the straight line, we need to set up an equation based on the given information.

Let's assume that the angle with the measure 2X + 3 is angle A and the angle with the measure X - 6 is angle B.

We know that angle A + angle B = 180° (since they form a straight line).

So, we can write the equation as follows:
(2X + 3) + (X - 6) = 180.

Now, let's solve this equation:
3X - 3 = 180,
3X = 180 + 3,
3X = 183,
X = 61.

Now that we have the value of X, we can substitute it into the expressions for angle A and angle B to find their measures.

Angle A = 2X + 3 = 2(61) + 3 = 122 + 3 = 125.
Angle B = X - 6 = 61 - 6 = 55.

Therefore, the measures of the two angles that make up the straight line are 125° and 55°.