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Triangle ABC is isosceles.

Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.

What is the measure of angle C?

25°
30°
60°
75°

1 Answer

9 votes

Answer: 75⁰°

Answer: 75⁰°Step-by-step explanation:

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25plug 25 in for x to find the angle measure

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25plug 25 in for x to find the angle measure3(25) = 75

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