Question

is it possible to constryct a quadrilateral MATH in which MA= AT= 8 cm ,angle A= 150 , angle M= 35, angle T= 45​

Answer 1

Steps of Construction:

Step 1: Draw MO = 5.8 cm.

Step 2: Draw ∠MOX = 105°.

Step 3: With O as centre and radius 4.4 cm, draw an arc cutting ray OX at R.

Step 4: Draw ∠ORY = 90°.

Step 5: Draw ∠OMZ = 58° such that ray MZ and ray RY intersect each other at E.

Steps of Construction:

Step 1: Draw DE = 4.5 cm.

Step 2: With D as centre and radius 7.2 cm, draw an arc.

Step 3: With E as centre and radius 6.5 cm, draw an arc cutting the previous arc at F.

Step 4: Join EF.

Step 5: With D as centre and radius 5.5 cm, draw an arc.

Step 6: With E as centre and radius 7.8 cm, draw an arc cutting the previous arc at G.

Step 7: Join DG and GF.

Answer 2

Step 1: Draw AB=4. 2 cm.

Step 2: With A as the centre and radius equal to 8 cm, draw an arc.

Step 3: With B as the centre and radius equal to 6 cm, draw another arc, cutting the previous arc at C.