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Find the measure of x

Find the measure of x-example-1

2 Answers

0 votes

Answer:

B. 43

Explanation:

ignore the other triangle with the y angle. it is just there to confuse us.

the main information is given already by the main triangle with the angles x and 47 degrees.

because it's baseline is the diameter of a circle, and its top point is also on the circumference of the same circle.

all triangles that can be inscribed into a circle that way are by definition right-angled triangles.

so, the angle at the top point is actually 90 degrees.

and as we know, the sum of all angles in a triangle is always 180 degrees, we can simply calculate :

180 = 90 + 47 + x = 137 + x

x = 43 degrees

that's it.

User Ggasp
by
8.1k points
3 votes

Answer:

B

Explanation:

The angle in a semicircle is 90° , then

x = 180° - (90 + 47) = 180° - 137° = 43° → B

User Krisho
by
7.6k points

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