Question

How do you solve #23?

Answer 1

Answer:

m= 67.5 and n=56.25

Step-by-step explanation:

  180-15=165

  165/2= 82.5

  90-15= 75

  75+75= 150

  180-150=30

  30+82.5= 112.5

  180- 112.5= 67.5

  m= 67.5

  180-67.5= 112.5

  112.5/2= 56.25

  n= 56.25

Answer 2

The values of angles m and n are 67.5 and 56.25 respectively

In the lowermost triangle, which is isosceles, let us apply the Angle sum property. Let the unknown angle be x.

15 + x + x = 180

15 + 2x = 180

x = 82.5

In the second triangle from the top, one angle is known by the right angle property which is 90 - 15 = 75. Since it is also an isosceles triangle, the other angle will be 75. Now the third angle is going to be obtained by the angle sum property. Let the unknown angle be y.

75 + 75 + y = 180

y = 30

In the uppermost triangle, since it is also an isosceles triangle two of the angles will be equal to n and the other angle is equal to m.

Let us find angle m. We know the angle of a straight line is 180.

m + 30 + 82.5 = 180

m = 67.5

By angle sum property,

67.5 + n + n = 180

67.5 + 2n = 180

n = 56.25.

Hence the angles m and n are 67.5 and 56.25 respectively.

To know more about the Isosceles triangle sums, refer to this:

brainly.com/question/11884412