In Triangle ABC,LA=80digree , LB=20digree
Then the measure of. LC equal _____?
Answers
Answer:
In Triangle ABC,
angle ABC+ angle BAC+ angle+ BCA= 180 degree (sum of interior angles of a triangle is 180 degree)
thereore, 20 degree+ 80 degree+ angle BCA=180
(note: angle BCA= angle C)
100 degree+ angle C= 180 degree
therefore, angle C=180- 100
angle C=80 degrees
Step-by-step explanation:
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Given:
In a triangle ABC ∠A = 80°
∠B = 20°
To find:
The ∠C of the triangle ABC.
Solution:
The sum of angles in a triangle is 180°.
So in the given triangle ABC the sum of all the angles should also be 180°, therefore:
∠A + ∠B + ∠C = 180°
Now putting the values we get:
80° + 20° ∠C = 180°
100° + ∠C = 180°
Making ∠C as the subject of the formula we get:
∠C= 180°- 100°
∠C = 80°
Therefore the measure of the ∠C in the given triangle ABC is 80°.