Andrea drew triangle JKL as shown.
Triangle J K L is shown. Angle K measures 110 degrees.
If ∠JKL is 110°, which statement is true for ∠KLJ and ∠LJK?
A. The sum of the two angles equals 110°.
B. The sum of the two angles equals 70°.
C. The sum of the two angles creates an obtuse angle.
D. The sum of the two angles creates a right angle.
180 - 110 = 70 so yes sum is 70
@Damon, thank you!
finally someone gives an explanation instead of just the answer!
B. The sum of the two angles equals 70°.
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Yes, how can I assist you?
To determine the relationship between ∠KLJ and ∠LJK, we need to understand the properties of triangles and angles. In a triangle, the sum of all three interior angles is always 180 degrees.
Since we know that ∠JKL measures 110 degrees, we can subtract this angle from 180 degrees to find the sum of the remaining two angles:
180° - 110° = 70°
Therefore, the sum of ∠KLJ and ∠LJK is equal to 70 degrees. So, the correct statement is:
B. The sum of the two angles equals 70°.