Question

What is the value of u?

Answer 1

24

Explanation:

`5u=2u+2u+24 \\ \\ 5u=4u+24 \\ \\ \boxed{u=24}`

Answer 2

u = 24

Explanation:

Exterior Angle Theorem

The interior angles of a triangle sum to 180°. Angles on a straight line sum to 180°. Therefore, the exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

From inspection of the triangle:

• Exterior angle = 5u
• Non-adjacent interior angle = 2u
• Non-adjacent interior angle = 2u + 24

Therefore:

⇒ 5u = (2u + 24) + 2u

⇒ 5u = 2u + 24 + 2u

⇒ 5u = 4u + 24

Subtract 4u from both sides:

⇒ 5u - 4u = 4u + 24 - 4u

⇒ u = 24

Therefore, the value of u is 24.