A quadrilateral has three angles that measure 80°, 110°, and 75°. Which is the measure of the fourth angle? A. 50° B. 90° C. 95°
2 answers:
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Answer:
<h3>B = 48.7° , C = 61.3° , b = 12</h3>Step-by-step explanation:
In order to find B we must first angle C
To find angle C we use the sine rule
That's
From the question
a = 15
A = 70°
c = 14
So we have
C = 61.288
<h3>C = 61.3° to the nearest tenth</h3>Since we've found C we can use it to find B.
Angles in a triangle add up to 180°
To find B add A and C and subtract it from 180°
That's
A + B + C = 180
B = 180 - A - C
B = 180 - 70 - 61.3
<h3>B = 48.7° to the nearest tenth</h3>To find b we can use the sine rule
That's
b = 11.9921
<h3>b = 12.0 to the nearest tenth</h3>Hope this helps you