Find the size of the angle marked a and b on the diagram
2 answers:
Answer:
<h2>a = 52°</h2><h2>b = 38°</h2>Step-by-step explanation:
We know:
Angles in a triangle sum to 180°.
Therefore:
52° + 90° + b = 180°
142° + b = 180° |-142°
<h2>b = 38°</h2><em>(look at the picture)</em>
a + b = 90° ⇒ a + 38° = 90° |-38°
<h2>a = 52°</h2>or
Angles 52° and a, are alternate interior angles. Therefore they are congruent.
<h2>a = 52°</h2>
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