Question

Solve:
the
9. The angles of a quadrilateral are (5x), (3x+10), 2(3x-10) and (x+25) respectively. Find the
measure of each angle of the quadrilateral.
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Answer 1

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Answer 2

Answer:

Given- the angles of a quadrilateral are

5x,(3x+10),2(3x-10) and (x+25)

Step-by-step explanation:

we know that the measure of 4 angles of a quadrilateral is 360°

hence- (5x)+(3x+10)+2(3x-10)+(x+25)=360°

opening the brackets

5x+3x+10+6x-20+x+25=360°

5x+3x+6x+x+10-20+25=360°

15x+15°=360°

15x=360°-15°=345°

x= 345/15=23°

hence the measure of each angles are:

5x=5×23= 115°

3x+10= 3×23+10=79°

2(3x-10)=2(3×23-10)=118°

x+25=23+25=48°

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