Question

construct ∆XYZ if XY =7cm,m<XYZ =105° and m<YZX =40° also write steps of construction​

Answer 1

$\dashrightarrow$ Steps :-

• First, draw a line segment XY of 7 cm.
• Next, take a protractor and keep it's mid-point on the point Y and draw a ray measuring 105°.
• Again, take a protractor and keep it's mid-point on the point X and draw a ray measuring 35°.
• Now, join both the rays at one point. If they don't meet, extend both rays. Name it as point Z.
• Finally, the triangle is constructed.

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$\dashrightarrow$ Instruments used :-

• Ruler :- The ruler is used to draw the line segments of accurate measurements and also the drawn lines should be correct and straight always.
• Protractor :- The protractor is used to draw the rays of accurate measurements of degrees. It's also used to measure the angles given.

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Note :-

Here, I've took the measurement of ∠x as 35°, because the sum of all the angles in a triangle always measures 180° through which we can find the value of ∠x.