How do I solve for this?

Mathematics

2 answers:

Brums [2.3K]2 years ago

7 0

Answer:

angle L = 100 degrees

angle M = 110 degrees

angle N = 70 degrees

angle P = 80 degrees

Step-by-step explanation:

find value of 'x' then substitute into each of the four angle expressions

to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)

2x + 20 + 3x - 10 + 2x - 10 + 2x = 360

combine 'like' terms to get:

9x = 360

x = 40

angle L = 2(40) + 20 = 100 degrees

angle M = 3(40) - 10 = 110 degrees

angle N = 2(40) - 10 = 70 degrees

angle P = 2(40) = 80 degrees

Check:

100 + 110 + 70 + 80 = 360

il63 [147K]2 years ago

3 0

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