Question

What is the value of ∠C in the diagram?

A. 40°
B. 90°
C. 60°
D. 80°

Answer 1

hmm ok soo if u know that all angles have degrees sooo if ur looking at c with a 60° angle ,proof:angle protractor.............hope this helps :)

Answer 2

Answer: C. 60°

Explanation:

Since, the sum of all angles of a triangle is 180°,

Thus, by the given diagram,

`m\angleA + m\angle B + m\angle C = 180^(\circ)`

⇒
`4x + 2x + 3x = 180^(\circ)`

⇒
`9x = 180^(\circ)`

⇒
`x = 20^(\circ)`

Hence, the measurement of angle C = 3x = 3 × 20° = 60°

⇒ Option C is correct.