Question

2 mark for review note: figure not drawn to scale. in the triangle shown, the value of x is 27. what is the value of y? a 27 b 54 c 63 d 117

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Given one angle is \(90^{\circ}\) (right - angle), \(x = 27^{\circ}\), and the third angle is \(y^{\circ}\). So, \(x + y+90=180\).

Step3: Solve for \(y\)

Substitute \(x = 27\) into the equation: \(27 + y+90 = 180\).
First, simplify the left - hand side: \(y+117 = 180\).
Then, subtract \(117\) from both sides: \(y=180 - 117\).
\(y = 63\).

Answer:

C. 63