Question

PLEASEEEE HELPPP

3. Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.

Answer 1

The value of x is 13°.

Solution:

In triangle, sum of all the interior angles = 180°

m∠A + m∠B + m∠C = 180°

(3x)° + (4x – 1)° + 90° = 180°

3x° + 4x° – 1° + 90° = 180°

7x° + 89° = 180°

Subtract 89° from both sides of the equation, we get

7x° = 91°

Divide by 7 from both sides of the equation, we get

x° = 13°

The value of x is 13°.