Question

what is the value of u? u + 49° u + 6° u - 44° u = °

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So, \(u + 49^{\circ}=(u + 6^{\circ})+(u - 44^{\circ})\)

Step2: Simplify the right - hand side

Simplify \((u + 6^{\circ})+(u - 44^{\circ})\):

$$
LATEXBLOCK0
$$

The equation becomes \(u + 49^{\circ}=2u-38^{\circ}\)

Step3: Solve for \(u\)

Subtract \(u\) from both sides of the equation \(u + 49^{\circ}=2u-38^{\circ}\):
\(u+49^{\circ}-u=2u - 38^{\circ}-u\)
\(49^{\circ}=u - 38^{\circ}\)
Add \(38^{\circ}\) to both sides: \(u=49^{\circ}+38^{\circ}\)

Answer:

\(u = 87^{\circ}\)