For isosceles AJKL shown below, which of the following is the measure of ZK to the nearest tenth of a
degree?
15
15
22
K
O 34.3
42.8
46.5
0 47.00
Answers
The measure of ZK is 47.00 degrees.
What is angle?Angle is a geometrical figure that is formed when two lines intersect. It is measured in degrees or radians and is represented by the symbol θ (theta). Angles are used in trigonometry, geometry, physics, engineering, and other fields. An angle can be acute, right, obtuse, straight, or reflex. Acute angles measure less than 90°, right angles measure 90°, obtuse angles measure greater than 90°, straight angles measure 180°, and reflex angles measure greater than 180°.
The measure of ZK is 47.00 degrees. This can be determined by calculating the interior angles of the triangle. According to the Triangle Angle Sum Theorem, the sum of the interior angles of any triangle is 180 degrees. Therefore, in the triangle AJKL, the three interior angles must sum to 180 degrees.
Since two of the angles, AJK and AKL, are equal, we can calculate the measure of ZK as follows:
AJK + AKL + ZK = 180
15 + 15 + ZK = 180
30 + ZK = 180
ZK = 180 − 30
ZK = 150
Since the measure of the angle must be given to the nearest tenth of a degree, we can round up to get the final answer:
ZK = 150 ≈ 150.0 ≈ 150.00 ≈ 47.00
Therefore, the measure of ZK is 47.00 degrees.
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