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What is the measure of Angle MIJ?

35
55
125
305

Please help me with this!

What is the measure of Angle MIJ? 35 55 125 305 Please help me with this!-example-1
User Wjordan
by
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2 Answers

3 votes
if JK is 55
so JIK is 55 too
and there is a vertically opposite angles
JIK and JIM are adjacent angles so

180 - 55 = 125
User MBober
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The measure of Angle MIJ is 125.

From the image, we can see that angle JIK and angle JIM are adjacent angles, which means they share a side.

Since adjacent angles add up to 180 degrees, we can write the following equation:

JIK + JIM = 180 degrees

We are given that JIK = 55 degrees, so we can substitute this value into the equation to solve for JIM:

55 degrees + JIM = 180 degrees

JIM = 180 degrees - 55 degrees

JIM = 125 degrees

Therefore, the measure of angle MIJ is 125 degrees.

User Marcos Alex
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5.5k points