Question

what is the value of u? u + 10° u u + 45° u =

Explanation:

Step1: Apply triangle - exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $u + 45^{\circ}=(u + 10^{\circ})+u$.

Step2: Simplify the equation

Expand the right - hand side: $u + 45^{\circ}=u + 10^{\circ}+u$. Combine like terms: $u + 45^{\circ}=2u+10^{\circ}$.

Step3: Solve for u

Subtract u from both sides: $45^{\circ}=2u - u+10^{\circ}$. Then $45^{\circ}=u + 10^{\circ}$. Subtract $10^{\circ}$ from both sides: $u=45^{\circ}-10^{\circ}$.

Answer:

$35^{\circ}$