Question

This shows a figure.

What is the measure of angle n?

65\degree65°

70\degree70°

110\degree110°

115\degree115°

Answer 1

To find the value of n we first have to find the value of angle m. because we know the sum of angle m and angle n would be equal to 180 degrees as they both lie on a straight line. to find angle m we have to use the angle sum property of a triangle which says the sum of all the internal angles of a triangle is equal to 180 degrees.

so using the angle sum property,

65+45+m = 180

m= 180-65-45

m=70

now we know m is 70 degrees

for n,

m+n = 180 -(i)

putting m=70 in equation (i)

70 + n = 180

n = 180-70 = 110 degree