Answer:
see explanation
Step-by-step explanation:
Given that and
are parallel lines then
a = 35 ( alternate angle )
The sum of the angles in a triangle = 180°, thus
b = 180 - (90 + a) = 180 - (90 + 35) = 180 - 125 = 55
b and c form a straight angle, thus
c = 180 - b = 180 - 55 = 125
d = 55 ( alternate to b )
Step-by-step explanation:
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Answer:
m∠C = 90°
Step-by-step explanation:
Triangle BDC is a right triangle with the measure of angle D = 90°
By applying Cosine rule in the given triangle,
Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)
CosC =
CosC =
CosC =
C = 28.955
C = 29°
Therefore, m∠C = 29° will be the answer.