Question

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Q7. If measure of three angles of a quadrilateral in degree are 75, 90 and 75. Find the measure of fourth angle
90°+75°+75°=360° ( sum of interior angle)
240°=360°
360°- 240 = 120°
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Q8. Ladder Shaped Shoe Rack
CHITANYA, always designs furniture in a fashionable manner. This time he designed new ladder shaped shoe rack with four parallel racks .For this he took four cuboidal rods each of 120 cm long. Boards were placed at 20 cm, 45cm, 75cm and 110 cm from the top. He set this ladder shape shoe rack as shown in above figure. On basis of figure answer the following questions.

A) Which property can help him to check that all boards are parallel?

1. Corresponding angle pairs are equal

2. Sum of corresponding angle must be 1800

3. Vertically opposite angles are equal

4. Sum of adjacent angles is 1800​

Answer 1

Answer:

in the first question, the proper way to attempt this question in an exam would be taking a variable as the fourth angle

let Y be the 4th angle

90+75+75+Y= 360(angle sum property)

240 + Y=360

Y = 120

4th angle= 120

corresponding angles are equal or co-interior angles are supplementary show that lines are parallel