Ask Question
20 July, 18:19

If the measure of angle ABF=6x+26 and the measure of angle EBF=2x9 and measure of angle ABE = 11x-31 find the measure of angle ABF

+5
Answers (1)
  1. 20 July, 20:42
    0
    Its not clearly given that whether EBF = 2x + 9 or 2x - 9.

    I have written the solution for both.

    If EBF = 2x + 9,

    then ABF = 6x + 26 and ABE = 11x - 31.

    Now, ABE = ABF + EBF

    11x - 31 = (6x + 26) + (2x + 9)

    = (6x + 2x) + (26 + 9)

    = 8x + 35

    11x - 8x = 35 + 31

    3x = 66

    x = 22

    Therefore, ABF = 6x + 26 = 6 (22) + 26 = 132 + 26 = 158°

    If EBF = 2x - 9,

    then ABF = 6x + 26 and ABE = 11x - 31.

    Now, ABE = ABF + EBF

    11x - 31 = (6x + 26) + (2x - 9)

    = (6x + 2x) + (26 - 9)

    = 8x + 17

    11x - 8x = 17 + 31

    3x = 48

    x = 16

    Therefore, ABF = 6x + 26 = 6 (16) + 26 = 96 + 26 = 122°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “If the measure of angle ABF=6x+26 and the measure of angle EBF=2x9 and measure of angle ABE = 11x-31 find the measure of angle ABF ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers