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laila [671]
3 years ago
12

Need help with this..

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Answer:

Step-by-step explanation:

m4 + m3 = 180 (Supplementary angle on 1 line)

m6 +m3 = 180 (Supplementary angle)

-> m6=m4

-> x+80 = 4x-10

-> 90 = 3x

-> x = 30

-> m6=m4 = 80+30 = 110

...

m1+m4 = 180 (Supplementary angle on 1 line)

-> m1 = 180 -110 = 70

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Answer:

Statements:

m<b = 180 - m<a

m<c = 180 - m<d

m<b = m<c

180 - m<a = 180 - m<d

Reasons:

The measure of m<b is the angle of a straight line subtracted with m<a. The measure of m<c is the angle of a straight line subtracted with m<d. If m<a and m<d are equal, m<b and m<c are equal.

Step-by-step explanation:

We know, m<a = m<d

So, we need to prove m< b = m<c

Let's start by defining what b and c is

m<b + m<a = 180 This is because a straight line is 180 degrees

m<b = 180 - m<a

m<c + m<d = 180

m<c = 180 - m<d

With this, we can substitute in proof

m<b = m< c

180 - m<a = 180 - m<d

180 - m<a = 180 - m<a

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