What is the approximate area of this figure?
2 answers:
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x = 85 degrees and
y = 45 degrees.
Step-by-step explanation:
Step 1:
The angle for a straight line is 180°. The sum of the angles in a triangle is 180°. These two statements are required to solve this problem.
The angles of x° and 95° are on a single straight line.
So
So the angle of x is 85°.
Step 2:
The sum of the angles in a triangle is 180°.
So
So the angle of y is 45°.
9514 1404 393
Answer:
x = 20, or 125
Step-by-step explanation:
We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.
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The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.
x° = 90° -70°
x = 20
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If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...
x° = 180° -(180° -70°)/2 = 90° +70°/2
x = 125
