Question

what is the value of a? a - 13° a a + 45° a = °

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $a + 45^{\circ}=a+(a - 13^{\circ})$.

Step2: Simplify the equation

$a + 45=a+a - 13$.

Step3: Combine like terms

$a + 45=2a-13$.

Step4: Solve for a

Subtract a from both sides: $45=a - 13$. Then add 13 to both sides: $a=45 + 13$.

Answer:

$a = 58$