Question

1. consider the diagram below.

find the value of w.

Explanation:

Step1: Sum of triangle angles is 180°

The triangle is right-angled, so total angles: $90^\circ + 46^\circ + w^\circ = 180^\circ$

Step2: Calculate sum of known angles

$90 + 46 = 136$

Step3: Solve for $w$

$w = 180 - 136$

Answer:

$44^\circ$