Question

find the measure of the missing angle.
answer attempt 1 out of 2
a =

Explanation:

Step1: Recall the sum of angles in a right - angle

The sum of angles in a right - angle (90°) and the given angle.
We know that the sum of the three angles (67°, 90°, and \(a\)) around a point on a straight line is 180°. But since there is a right - angle (90°), we can also use the fact that \(67^{\circ}+90^{\circ}+a = 180^{\circ}\).
Another way: The sum of complementary angles to 180° (a straight line). The non - overlapping angles 67°, 90°, and \(a\) form a straight line. So, \(a=180^{\circ}-(67^{\circ} + 90^{\circ})\).

Step2: Calculate the value of \(a\)

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Answer:

\(23^{\circ}\)