Question

math problems added below pls help will give medal and fan

Answer 1

Problem 2. We have an isosceles triangle. So we know that two sides are equal in length (note the hash marks).

The angle opposite one of these sides is equal to the angle opposite the other equal side.

So the 35 degree angle is opposite side xy, note the hash mark. So the angle opposite the other side with the hash mark is also 35 degrees, angle y.

So we now know that two angles are 35 degrees. We know that the sum of the angles in a triangle is 180 degrees. So to find the third angle, angle x, we subtract the two 35 degrees angles from 180 degrees.

180-35-35=110 degrees So our answer is 110 degrees

Answer 2

problem 3 is an equilateral triangle. So all three sides are equal length. Also all three angles are of equal measure.

Since we know that the sum of the angles in a triangle are equal to 180 degrees, and that all three of the angles are of equal measure, we divide 180 degrees by 3 to find the measure of one of the angles.

180/3= 60 degrees So all three angles measure degrees.

So angle ACB is 60 degrees

Answer 3

Problem four is an another isosceles triangle. See if you can do this one on your own.

Answer 4

Problem five raises the bar a bit. Again we have an isosceles triangle. However we now have a angle bisector. This means the angle has been divided into two smaller, equal size, angles. Both of these smaller angles are equal in measure to each other. So angle QRT is congruent (equal) to angle TRS.

Since triangle QRS is an isosceles triangle, we know that angle RQS is congruent (equal) to RSQ.

Since two of the angles in triangle QRT are congruent (equal) to two angles in triangle TRS, the third angle in both triangles are congruent (equal) So angle QTR is congruent (equal) to angle RTS. Angle QTR and angle RTS form a linear pair which is equal to 180 degrees.

Since the sum of QTR and RTS is 180 degrees, and both angles are congruent (equal) to each other, then the measure of one of the angles is 180 degrees divided by 2.

180/2= 90 degrees. So angle RTQ = 90 degrees