Question

question 6 dynamic module 7 practice (rm c3)
(there is a triangle - like figure with angles ( x^circ ), a ( 104^circ ) angle, and a ( 54^circ ) angle - related to the lines. we need to find ( x ), and there is a box for ( x=))

Explanation:

Step1: Find the supplementary angle of 104°

The angle adjacent to 104° on a straight line is \(180 - 104 = 76^\circ\).

Step2: Use the triangle angle - sum property

In a triangle, the sum of interior angles is 180°. We know one angle is 54° (vertical angle, so equal to the given 54°) and another is 76° (from Step 1). Let the third angle be \(x\). Then \(x + 54+76 = 180\).
Simplify the left - hand side: \(x + 130 = 180\).
Subtract 130 from both sides: \(x=180 - 130 = 50\).

Answer:

\(x = 50\)