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vertical/adjacent/complementary angles l2 score: 1/5 penalty: 0.25 off …

Question

vertical/adjacent/complementary angles l2
score: 1/5 penalty: 0.25 off
question
find the measure of the missing angle.
answer attempt 1 out of 2
a =

Explanation:

Step1: Recall angle - sum property

The sum of the given $34^{\circ}$ angle, the right - angle ($90^{\circ}$), and angle $a$ is $180^{\circ}$ (since they form a straight line).

Step2: Set up the equation

$34^{\circ}+90^{\circ}+a = 180^{\circ}$.

Step3: Simplify the left - hand side

$124^{\circ}+a = 180^{\circ}$.

Step4: Solve for $a$

$a=180^{\circ}- 124^{\circ}=56^{\circ}$.

Answer:

$56$