Question

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what’s the value of x

measure of c

Answer 1

x = 29

Angle C = 93°

Explanation:

Since all of the interior angles of a triangle add up to 180° and we are given the values of angle A and angle B, we can find angle C by subtracting A and B from 180.

35 + 52 = 87

180 - 87 = 93

Thus, the measure of angle C is 93°.

Now that we know the measure of angle C, we can determine the value of x.

Set up an equation:

3(x + 2) = 93

3x + 6 = 93

3x = 87

x = 29

Answer 2

(a) x = 29

(b) m∠C = 93°

Explanation:

(a) The sum of the interior angles of a triangle = 180°

⇒ m∠A + m∠B + m∠C = 180

⇒ 35 + 52 + 3(x + 2) = 180

⇒ 87 + 3x + 6 = 180

⇒ 93 + 3x = 180

⇒ 3x = 87

⇒ x = 29

(b) As x = 29

⇒ m∠C = 3(29 + 2)

⇒ m∠C = 3 x 31

⇒ m∠C = 93°