Question

B. Give the missing data in the table below. Given that IF bisects LLIE. Find the measure of
m and the actual measure of each angle
M2LIF
MZFIE
mZLIE
45
x+2
3m + 5
2m + 10 =​

Answer 1

Given  : IF bisects ∠LIE

To Find : Missing values in Table

and also value of m

Solution:

IF bisects ∠LIE

=> ∠LIF = ∠FIE = (1/2) ∠LIE

∠LIE            ∠LIF         ∠FIE

45               22.5           22.5

148              74             74

2x + 4         x + 2            x + 2

              3m+ 5            2m+ 10

3m +5 = 2m + 10

=> m = 5

3m+ 5     = 20

2m+ 10 = 20

∠LIE            ∠LIF         ∠FIE

40       3m+ 5=20       2m+ 10=20

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Answer 2

Answer:

45 22.5 22.5

148 74 74

2×+4 3m+5 2m+10