Question
Together, the measure of angle B, angle C, and angle D, equal 180. The angles have the following measures: angle B=25°, angle C=(3x)°, and angle D=(3x+5)°. What are the measures of angle C and angle D?
Answers
GPT 3.5
Since the sum of angle B, angle C, and angle D is equal to 180°, we have the equation: 25 + (3x) + (3x + 5) = 180.
Combining like terms, this equation becomes: 6x + 30 = 180.
Subtracting 30 from both sides, we have: 6x = 150.
Dividing both sides by 6, we obtain: x = 25.
Thus, angle C = 3x = 3(25) = 75°, and angle D = 3x + 5 = 80°. Answer: \boxed{75^\circ, 80^\circ}.
Combining like terms, this equation becomes: 6x + 30 = 180.
Subtracting 30 from both sides, we have: 6x = 150.
Dividing both sides by 6, we obtain: x = 25.
Thus, angle C = 3x = 3(25) = 75°, and angle D = 3x + 5 = 80°. Answer: \boxed{75^\circ, 80^\circ}.