Question

what is the value of a? a + 34° a a - 20° 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, $a + 34=(a)+(a - 20)$.

Step2: Simplify the equation

$a+34=a+a - 20$.
Combining like terms gives $a+34 = 2a-20$.

Step3: Solve for a

Subtract a from both sides: $34=2a - a-20$.
Then $34=a - 20$.
Add 20 to both sides: $a=34 + 20$.

Answer:

$54$