SOLUTION: Triangle ABC is inscribed in a circle. Given that AB is a 40-degree arc and ABC is a 50-degree angle, find the sizes of the other arcs and angles in the figure.

SOLUTION: Triangle ABC is inscribed in a circle. Given that AB is a 40-degree arc and ABC is a 50-degree angle, find the sizes of the other arcs and angles in the figure.

Algebra.Com

Question 1156836: Triangle ABC is inscribed in a circle. Given that AB is a 40-degree arc and ABC is a 50-degree angle, find the sizes of the other arcs and angles in the figure.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this
If arc AB is 40, deg, angle C is 20 degrees, half the arc.
ABC is 50, so arc AC is 100 deg
That makes angle BAC 110 degrees and arc BC 220 degrees.
RELATED QUESTIONS
triangle ABC is inscribed in a circle. given that AB is a 40 degree arc and ABC is a 50... (answered by Edwin McCravy)

Suppose that triangle ABC has a 30-degree angle at A and a 60-degree angle at B. Let O be (answered by greenestamps)

Triangle ABC is inscribed in a circle. AB is 12, AC is 6 and BC is 6 square root 3. Find... (answered by tommyt3rd)

in triangle abc, ab = 5 and ac=4. what is the measure of angle a to the nearest... (answered by richard1234)

in triangle ABC wht is the degree measure of angle A? A=x+10 degree B=2x-20 degree... (answered by reviewermath)

in right triangle ABC, AB=20, AC=12, BC=16 and angle c is 90 degrees. find to the nearest (answered by Alan3354)

Triangle ABC is inscribed in a circle. Find the angle between the tangents to the circle... (answered by jim_thompson5910)

in triangle ABC, angle A measures 30 degree, side AC measures 10 centimeters, and the... (answered by josgarithmetic)

In triangle ABC, a=45 degree and angle C=70 degree. Find the side opposite angle A if... (answered by Alan3354)