Question

if A=90 B=6x-5,c=7x-15 ,D=2x+6 find x and angle b,c​

Answer 1

To find :

we need to find the value of x and angle b and c.

Solution :

• A = 90°
• B = 6x - 5
• C = 7x - 15
• D = 2x + 6

‹‹ Sum of all angles of quadrilateral = 360° ››

→ A + B + C + D = 360

→ 90 + (6x - 5) + (7x - 15) + (2x + 6) = 360

→ 6x + 7x + 2x - 5 - 15 + 6 + 90 = 360

→ 15x - 20 + 96 = 360

→ 15x + 76 = 360

→ 15x = 360 - 76

→ 15x = 284

→ x = 284/15

• → x = 18.9

So,

• Angle B

6x - 5

= 6 × 18 .9 - 5

= 113.4 - 5

= 108 .4

• Angle C

7x - 15

= 7 × 18.9 - 15

= 132.3 - 15

= 117.3

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