13. In the below figure, ZEBC = 115º and LDAB = 100°. Find ZACB.
E
B115
100°
무
A
Answers
Step-by-step explanation:
Given : angle EBC = 115°
angle DAB = 100°
To find : angle ACB
Proof:
angle DAB + angle BAC = 180° ( linear pair )
100° + angle BAC = 180°
angle BAC = 180° - 100°
= 80°
Similarly,
angle CBA + angle EBC = 180° ( linear pair)
angle CBA + 115° = 180°
angle CBA = 180° - 115°
angle CBA = 65°
By Angle Sum Property of Triangle
angle ACB + angle CBA + angle BAC = 180°
angle ACB + 65° + 80° = 180°
angle ACB = 180° - 140°
• angle ACB = 40°
hope it helps you!!
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