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42 votes
42 votes
Match each length or angle measure to the correct value?

Match each length or angle measure to the correct value?-example-1
User Jimmy Van Beele
by
3.0k points

1 Answer

16 votes
16 votes

Okay, here we have this:

Considering the provided information, we obtain the following:

m∠KJM:

As in an isosceles triangle the base angles are the same, we have:

m∠KJM=m∠LMJ

m∠KJM=27°+78°

m∠KJM=105°

m∠JKL:

Now, as in isosceles triangle opposite angles are supplementary we obtain:

180°=m∠JKL+m∠LMJ

m∠JKL=180°-m∠LMJ

m∠JKL=180°-(27°+78°)

m∠JKL=180°-(105°)

m∠JKL=75°

JL:

In this case, considering that as the diagonals are the same length, this mean that KR is equal to RL, so RL measures 42 units, and we have:

JL=JR+RL

JL=39+42

JL=81

LM:

Finally we

User Jim Garvin
by
3.3k points