Question

two angles of a quadrilateral measure 85 degree and 75 degree respectively the other two angles are equal find the measures of each of the equal angles​

Answer 1

Answer:

Step-by-step explanation:

let  the angles of the quadrilateral be 85,75,x and y

they are given that the two other angles are equal

x =y    .................................(1)

we know sum of all angles in a quadrilateral is 360

85 + 75+ x + y =  360

x  + x        =   360-160

2x  =    200

x =   100

the two other angles are 100

therefore the four angles of a quadrilateral are 85,75,100,100

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Answer 2

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let the quardrilateral be ABCD

angle A =85 degree

angle B =75 degree

angle C=x

angle D= x

sum of angle of angles = 360

360 = 85 + 75 + x + x

360 = 160 + 2x

2x = 360 -160

=200

x =200/2

=100 degree