Construction of a triangle when two angles and the side between the angles (A.S.A)

3. Construct ΔMAN with MA = 4 cm, ∠M = 45° and ∠A = 100°

STEP 1: Draw a rough sketch of the triangle and label it with the given measurements

This helps visualize what we're going to construct Label vertices M, A, N and mark the given measurements

STEP 2: Draw a line segment MA of length 4 cm

Use a ruler to measure and draw the base Mark points M and A at the ends

STEP 3: Draw a ray MX making an angle of 45° with MA

Place the protractor at point M Measure 45° angle from MA Draw the ray MX

STEP 4: Draw a ray AY making an angle of 100° with MA

Place the protractor at point A Measure 100° angle from MA

Draw the ray AY Mark the intersection point of rays MX and AY as N