Give that m/_ y=39, find the measures of angles a and b
2 answers:
Answer:
∠a = 39°
∠b = 129°
Step-by-step explanation:
Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.
<h3>Application</h3>
Angle y and angle 'a' are vertical angles, so congruent.
∠a = ∠y = 39°
The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.
∠b = ∠a +90° = 39° +90°
∠b = 129°
<h3>Given:</h3>
- ✓
In the given figure, angles a and y are vertically opposite angles. The measure of vertical angles is equal, therefore :-
Next, angles a and 90° are the opposite interior angles to the exterior angle b. By the triangle theorem below :-
•
<em>m<a= </em>
<em>m<</em><em>b </em>=
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hope this helps!
Divide each number by 3
Then subtract the numbers you got from the answers that you divided