Question

what is the value of u? u + 29° u - 39° u - 46° u = °

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $u + 29=(u - 39)+(u - 46)$.

Step2: Expand the right - hand side

$u + 29=u - 39+u - 46$.

Step3: Combine like terms on the right - hand side

$u + 29=2u-85$.

Step4: Isolate the variable $u$

Subtract $u$ from both sides: $29=2u - u-85$.

Step5: Solve for $u$

$u=29 + 85$.

Answer:

$u = 114$