Question

If the angles of a quadrilateral are (2+10)°, (3+15)°, (2-10)° and (3-5)°, then the measure of its greatest angle is​

Answer 1

Answer:

Step-by-step explanation:

We know,

= > sum of all angles of any quadrilateral = 360

Here,

= > ( 2x + 10 ) + ( 3x + 15 ) + ( 2x - 10 ) + ( 3x - 5 ) = 360

= > 2x + 10 + 3x + 15 + 2x - 10 + 3x - 5 = 360

= > 2x + 3x + 2x + 3x +10 + 15 - 10 - 5 = 360

= > 10x + 10 = 360

= > 10x = 360 - 10

= > x = 350/10

= > x = 35

On observing I found the greatest angle is 3x + 15, so

= > 3( 35 ) + 15

= > 105 + 15

= > 120

Greatest angle is 120

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