Question

what is the value of a? a - 46° a - 33° 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, $a=(a - 46^{\circ})+(a - 33^{\circ})$.

Step2: Expand the right - hand side

$a=a - 46^{\circ}+a - 33^{\circ}$.

Step3: Combine like terms

$a=2a-79^{\circ}$.

Step4: Solve for $a$

Subtract $a$ from both sides: $0 = 2a - a-79^{\circ}$. Then $a = 79^{\circ}$.

Answer:

$79$