Question

find the missing angle (diagram: triangle with angles 88° and 39°, angle ( a^circ ) forming a linear pair with a triangle angle; options: 88, 39, 127, 53)

Explanation:

Step1: Find the third angle in the triangle

The sum of angles in a triangle is \(180^\circ\). So, the third angle (let's call it \(x\)) is \(180 - 88 - 39\).
\(x = 180 - 88 - 39 = 53^\circ\)

Step2: Find the missing angle \(a\)

Angle \(a\) and angle \(x\) are supplementary (they form a linear pair), so their sum is \(180^\circ\). Thus, \(a = 180 - 53\).
\(a = 127^\circ\)

Answer:

\(127^\circ\) (corresponding to the green option with 127)