Can u help me in this problem. i don't know how to do it
1 answer:
Answer:
x=11
Step-by-step explanation:
- The angles directly opposite 80 and 60 are also 80 and 60 respectively, because they are vertical angles
- Now the triangle we see there, on the bottom left corner the angle is 80 degrees and the bottom right the angle is 60 degrees
- Theorem states that the sum of angles in a triangle is 180 degrees
- So 80 degrees plus 60 degrees plus the angle (x+51) is equal to 180
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Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = = 5
Hence the value of X = 5 unit Answer