Construct the triangle XYZ, in which XY = 6 cm ∠X = 60°, ∠Y = 30°. Measure the third angle.

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Solution

Construction of ΔXYZ, where XY = 6 cm, and .

Steps of construction:

(i) Draw XY = 6 cm.

(ii) Using a protractor at X and Y; construct andrespectively.

Let them meet at Z.

Thus, triangle XYZ is the required triangle.

On measuring, it is observed that measure of the third angle .

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Construct the triangle XYZ, in which XY = 6 cm ∠X = 60°, ∠Y = 30°. Measure the third angle.

Construction of ΔXYZ, where XY = 6 cm, and . Steps of construction: (i) Draw XY = 6 cm. (ii) Using a protractor at X and Y; construct andrespectively. Let them meet at Z. Thus, triangle XYZ is the required triangle. On measuring, it is observed that measure of the third angle .

Construction of ΔXYZ, where XY = 6 cm, and .

Steps of construction:

(i) Draw XY = 6 cm.

(ii) Using a protractor at X and Y; construct andrespectively.

Let them meet at Z.

Thus, triangle XYZ is the required triangle.

On measuring, it is observed that measure of the third angle .