Q. (a) Construct triangle ABC where angle BAC=65∘ and angle ABC=54∘. AB has already been drawn.∣
Draw Angle BAC: First, we need to draw angle BAC which is 65 degrees. Use a protractor to measure 65 degrees from point A along the pre-drawn side AB.
Draw Angle ABC: Next, draw angle ABC which is 54 degrees. Again, use a protractor to measure 54 degrees from point B along the pre-drawn side AB.
Extend Lines to Form Triangle: Now, extend the lines from the angles BAC and ABC until they meet at point C. This will form triangle ABC.
Check Angle Sum: Check if the sum of angles BAC and ABC is less than 180 degrees before drawing the third side, because the sum of angles in a triangle must be 180 degrees. 65+54=119, which is less than 180.
Draw Third Side AC: Finally, draw the third side AC by connecting the ends of the two angles. Now, triangle ABC is constructed.
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