Question

find the measure of the missing angles.
answer attempt 1 out of 2
$d = square ^ { circ }$ $e = square ^ { circ }$ $f = square ^ { circ }$

Explanation:

Step1: Find the value of \(d\)

By the definition of a right angle, \(d = 90^{\circ}\)

Step2: Find the value of \(f\)

Since \(100^{\circ}\) and \(f\) are supplementary angles (they form a linear pair), \(100 + f=180\). Solving for \(f\), we get \(f = 180 - 100=80^{\circ}\)

Step3: Find the value of \(e\)

Since \(e\) and \(100^{\circ}\) are vertical angles (opposite angles formed by the intersection of two lines), \(e = 100^{\circ}\)

Answer:

\(d = 90^{\circ}\), \(e = 100^{\circ}\), \(f = 80^{\circ}\)