Question

Please help if you understand!! I hope everyone has a great day or is having a great day​

Answer 1

The value of the angle will be 105 degrees

Explanation:

First, one thing to know is that the angles in a triangle all add up to be 180.

From the triangle on the right, two of the angles are given to us.

We have the 40 degree angle and the 90 degree angle (we know it is 90 because of the red box in the triangle indicates that)

Next, you add up 90 and 40 which gives us 130. (90 + 40 = 130)

Because the sum of all the angles in a triangle is 180, you will subtract 180 from 130. (180 - 130 = 50)

The remaining angle from the triangle from the right is 50.

Now, a rule of angles is that vertically opposite angles are equal to each other.

Because we have found the 50 degree angle, the angle vertically opposite from that will also equal 50.

Now we have two known angles in the triangle from the left.

Because we know one degree is 50 and the other is 25, all we have to do is add those two angles and subtract from 180.

50 + 25 = 75

180 - 75 = 105

And there is our answer for the angle that is marked with a "?" --> 105 degrees

Hope this explnation made sense and good luck!

Answer 2

Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.

Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.

180-(90+40)= 180-130=50.

Therefore, the vertical angles measurement is equivalent to 50 degrees.

Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.

180-(50+25)= 180-75=105

SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"

I hope you are having a great day too;)!