The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its
1 answer:
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<h3>Answer: 20.3</h3>
Work Shown:
tan(angle) = opposite/adjacent
tan(B) = AC/AB
tan(67) = x/8.6
8.6*tan(67) = x
x = 8.6*tan(67)
x = 20.2603303460843 ... make sure your calculator is in degree mode
x = 20.3 .... rounding to 3 significant figures
see diagram below
The two triangles are similar by SSA similarity. Option B is correct.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
If the ratio of the sides are same as well as the one angle is common between the two triangles then in that condition there will be SSA similarity.
From the triangle ABC and DEC
The ratio of the sides is;
One angle c is common in the two triangles.
The two triangles are similar by SSA similarity.
Hence, option B is correct.
To learn more about the triangle, refer to:
#SPJ1