Question

Multiple Choice Questions
1. Which of the following quadrilaterals is a concave quadrilateral if the angles measure
(a) 20°, 160°, 80°, 100°
(b) 190°, 70°, 40°, 60°
(C) 100°, 90°, 120°, 50°
(d) 140°, 70°, 90°, 60°
explain with process​

Answer 1

b) 190°, 70°, 40°, 60°

Step-by-step explanation:

" 190°, 70°, 40°, 60° " is the answer because if as least one angle of a quadrilateral is more than 180°, it is called a concave quadrilateral.

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Answer 2

Answer: In (b) 190°, 70°, 40°, 60° one angle is more than 180°. therefore it will be a concave quadrilateral.

Step-by-step explanation:

Given: We have given angles of the quadrilaterals as,

          a) 20°, 160°, 80°, 100°

         (b) 190°, 70°, 40°, 60°

         (C) 100°, 90°, 120°, 50°

         (d) 140°, 70°, 90°, 60°

To find: We have to find which of the following quadrilaterals is a concave quadrilateral.

Explanation:

Step 1: If one of the angle of a quadrilaterals is more than 180° so it will be called as concave quadrilateral.

So, for (a) 20°, 160°, 80°, 100

we can say that no angle is more than 180°, therefore it will not be a concave quadrilateral.

Step 2: For (b) 190°, 70°, 40°, 60°                                                                we can say that one angle i.e. 190° is more than 180°, therefore it will be a concave quadrilateral.

Step 3: For C) 100°, 90°, 120°, 50°

we can say that no angle is more than 180°, therefore it will not be a concave quadrilateral.

Step 4: For (d) 140°, 70°, 90°, 60°

we can say that no angle is more than 180°, therefore it will not be a concave quadrilateral.

Hence,in (b) 190°, 70°, 40°, 60° one angle is more than 180°. therefore it will be a concave quadrilateral.

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