Question

If the measure of ∠26 is (3y - 10) and the measure of ∠24 is (106 – y), what is the measure of ∠25?**

a) (107 - 2y)

b) (4y - 116)

c) (2y + 96)

d) (2y - 96)

Answer 1

To find the measure of ∠25, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Given the measures of ∠24 and ∠26, we can set up an equation and solve for ∠25. The measure of ∠25 is 94 degrees.

Step-by-step explanation:

To find the measure of ∠25, we need to use the fact that the sum of the angles in a triangle is 180 degrees.∆ABC has three angles, ∠24, ∠25, and ∠26. So, we can write an equation: ∠24 + ∠25 + ∠26 = 180.

Given that ∠26 = (3y - 10) and ∠24 = (106 - y), we can substitute these expressions into the equation to get: (106 - y) + ∠25 + (3y - 10) = 180.

Now, we can simplify and solve for ∠25: 96 + 2y - y - 10 = 180. 96 + y - 10 = 180. y + 86 = 180. y = 94.

Therefore, the measure of ∠25 is 94 degrees.