Angles measure m<2=(5x+23) and m<4=(3x+35) what is the measure of each angle ?

Answer 1

To find the measures of angles 2 and 4, we can set their measures equal to the given expressions:

m<2 = 5x + 23
m<4 = 3x + 35

Since the measures of angles in a triangle add up to 180 degrees, we can set up an equation:

m<2 + m<4 + m<3 = 180

Substituting the given expressions for the measures of angles 2 and 4:

(5x + 23) + (3x + 35) + m<3 = 180

Combining like terms:

8x + 58 + m<3 = 180

Subtracting 58 from both sides of the equation:

8x + m<3 = 122

Since we don't have enough information to solve for the measure of angle 3, we cannot determine the exact measure of angles 2 and 4. The measures of angles 2 and 4 depend on the specific value of x and the measure of angle 3.