Gokul is constructing a triangle XYZ where the $∠ X = 30 °$ and $∠ Y = 100 °$ . Which of the following measurements is required to complete the construction?

XY = 6 cm

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YZ = 6 cm

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XZ = 6 cm

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∠ Z

= 50°

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Solution

The correct option is A XY = 6 cm
The construction of triangle is possible in the following cases.

When the measure of 3 sides is given.

When the measure of 2 sides and an included angle is given.

When the measure of 2 angles and an included side is given.

Here, the measure of $∠ X$ and $∠ Y$ is given. So the measure of included side $X Y$ is required for the construction of triangle XYZ

Hence the answer is XY = 6 cm.

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Gokul is constructing a triangle XYZ where the ∠X=30° and ∠Y=100°. Which of the following measurements is required to complete the construction?

Gokul is constructing a triangle XYZ where the $∠ X = 30 °$ and $∠ Y = 100 °$ . Which of the following measurements is required to complete the construction?