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gogolik [260]
3 years ago
11

What is the measure of ∠JSM? A) 12° B) 17° C) 23° D) 31°

Mathematics
2 answers:
postnew [5]3 years ago
7 0

Answer:

Option B.

Step-by-step explanation:

Given information: m\angle A=48^{\circ},\angle E=90^{\circ},\angle EMS=59^{\circ}.

According to the angle sum property of a triangles, the sum of interior angles of a triangle is 180°.

Apply angle sum property on triangle AEJ.

\angle A+\angle E+\angle J=180^{\circ}

48^{\circ}+90^{\circ}+\angle J=180^{\circ}

138^{\circ}+\angle J=180^{\circ}

Subtract 138 from both sides.

\angle J=180^{\circ}-138^{\circ}

\angle J=42^{\circ}

The measure of angle J is 42°.

According to exterior angle property, the sum of two interior angles of a triangle is equal to the third exterior angle.

Apply exterior angle property on triangle JMS.

\angle EJA+\angle JSM=\angle EMS

42^{\circ}+\angle JSM=59^{\circ}

Subtract 42 from both sides.

\angle JSM=59^{\circ}-42^{\circ}

\angle JSM=17^{\circ}

The measure of ∠JSM is 17°.

Therefore, the correct option is B.

Artemon [7]3 years ago
6 0

I think it would be “B”

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