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vesna_86 [32]
2 years ago
6

A triangle has angle measures of 18° and 57°. What is the measure of the third angle?

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
5 0

Answer:

105°

Step-by-step explanation:

Measure of the third angle

= 180° - 18° - 57° (angle sum of triangle)

= 105°

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In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?
Katena32 [7]

Answer:

XY = 4.9

Step-by-step explanation:

Given

XZ= 4

\angle Y = 45

\angle Z = 60

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}

In this case:

\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}

Cross Multiply

XY * \sin(45) = 4 * \sin(60)

XY * 0.7071 = 4 * 0.8660

Make XY the subject

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XY = \frac{3.4640}{0.7071}

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XY = 4.9 -- <em>approximated</em>

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3 years ago
Value of ratio 3/4 to 2
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