Solve the problem.
-The sum of two angles is 110°. One angle is 25° less than twice the other. Find the angles.
A)43° and 61°
B)45° and 65°
C)61° and 49°
D)43° and 67°

Question

Quizplus · Accepted Answer

Let's call one angle x and the other angle y. 
From the first sentence, we know that x + y = 110. 
From the second sentence, we know that x = 2y - 25. 
We can substitute x in terms of y into the first equation: 
(2y - 25) + y = 110 
Simplifying the equation, we get: 
3y - 25 = 110 
3y = 135 
y = 45 
We can substitute y = 45 into either equation to solve for x: 
x = 2(45) - 25 = 65 
Therefore, the angles are 45° and 65°, which is answer choice B.

Solve the Problem. -The Sum of Two Angles Is 110°. One Angle Is