Question

what is the value of a? a + 37° a a - 3° a = ° save answer

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(a + 37^{\circ}=(a - 3^{\circ})+a\).

Step2: Simplify the equation

Expand the right - hand side: \(a + 37=a - 3+a\).
Combine like terms: \(a+37 = 2a-3\).

Step3: Solve for \(a\)

Subtract \(a\) from both sides: \(37=2a - 3-a\).
Which gives \(37=a - 3\).
Add 3 to both sides: \(a=37 + 3\).

Answer:

\(40\)