In triangle ABC, angle A=35, angle B =65 then the measure of angle C is
Answers
Answer:
angle C = 100 degrees
Step-by-step explanation:
Always in a triangle, the sum of the three angles is 180 degrees.
Given: Angle A = 35 degrees
Angle B = 65 degrees
To find: Angle C
Angle A + Angle B + Angle C = 180 degrees.
35 + 65 + Angle C = 180 degrees
100 + Angle C = 180 degrees
Angle C = 180 - 100 degrees
Angle C = 80 degrees
Given : In triangle ABC, angle A=35, angle B =65
To Find : the measure of angle C
Solution:
m∠A = 35°
m∠B = 65°
m∠C = ?
Using triangle angle sum theorem that sum of measures of all the angles of a triangle is 180°
=> m∠A + m∠B + m∠C = 180°
Substituting values of m∠A = 35° and m∠B = 65°
=> 35° + 65° + m∠C = 180°
=> 100° + m∠C = 180°
=> m∠C = 180° - 100°
=> m∠C = 80°
Hence the measure of angle C is 80°
Learn More:
Verify that the sum of measure of exterior angles of any polygon is ...
brainly.in/question/10556355
sum of the five exterior angles is 760.remaining 2 angles are equal ...
brainly.in/question/12811377