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How do I do this ?This is very hard please help

How Do I Do This This Is Very Hard Please Help class=

Sagot :

Abidemiokinidn

The measure of m<JMO is 20 degrees

The triangle JOK is a 60 degrees equilateral triangle. Hence the measure of m<O at the center is 60 degrees.

Angle at a point

  • The sum of the angle at a point is 360 degrees.

Since the base angles of triangle KOL and OLM are equal hence;

  • m<KOL + m<MOL + m<JOM + m<JOK = 360 (angle at a point)

Substitute the base angles and the equilateral angles to get angle JOM

80 + 80 + m<JOM + 60 = 360

m<JOM = 360 - 360 - 220

m<JOM = 140 degrees

Sum of angles in a triangle

Since the sum of angle in the triangle JOM is 180 degrees, hence;

2m<JMO + m<JOM = 180

2m<JMO = 180 - 140

2m<JMO = 40

m<JMO = 20 degrees

Hence the measure of m<JMO is 20 degrees

Learn more on angles here: https://brainly.com/question/25770607

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