Answer:
C
Step-by-step explanation:
Note that <em>x</em> is opposite to the given angle and we are also given the hypotenuse.
Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:
The opposite side is <em>x</em>, the hypotenuse is 15, and the angle is 53. Substitute:
Solve for <em>x: </em>
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Use a calculator (make sure you're in Degrees Mode!). Hence:
Our answer is C.
Answer:
Measure of exterior angle ABD = 136°
Step-by-step explanation:
Given:
measure of ∠A = (2x + 2)°
measure of ∠C = (x + 4)°
measure of ∠B = x°
Find:
Measure of exterior angle ABD
Computation:
Using angles sum property
∠A + ∠B + ∠C = 180°
So,
(2x + 2) + (x + 4) + x = 180
4x + 6 = 180
4x = 176
x = 44
So,
measure of ∠B = x°
measure of ∠B = 44°
Measure of exterior angle ABD = 180 - measure of ∠B
Measure of exterior angle ABD = 180 - 44
Measure of exterior angle ABD = 136°
