Question

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

Step1: Identify angle sum property

The sum of angles around a straight line (or in a right - angle related setup here) where we have a right angle ($90^{\circ}$), the given $70^{\circ}$ angle, and angle $a$. The sum of angles in this linear - like arrangement (since the straight line implies a $180^{\circ}$ sum when considering the right angle and the other angles) can be thought of as $a + 90^{\circ}+ 70^{\circ}=180^{\circ}$ (because the angles on a straight line add up to $180^{\circ}$).

Step2: Solve for \(a\)

We can re - arrange the equation $a+90 + 70=180$ to solve for $a$. First, add 90 and 70: $90 + 70 = 160$. Then, $a=180 - 160$. So, $a = 20^{\circ}$.

Answer:

\(20^{\circ}\)