Question

15. Find the value of x in the adjoining figure, if BD is the
bisector of angle ABC.​

Answer 1

Answer:

Step-by-step explanation:

Here,

In triangle ABC

angleA+B+C=180 (Interior angle of triangle)

50+30+angleA=180

80+A=180

A=180-80

A=100

therefore angleBAE=angleEAC=50 (AEbisectA)

In triangle AEC

angleA+E+C=180

50+E+30=180

angleE=100

now,

angleAEC+AED=180 (linear pair)

100+AED=180

AED=80

now,

angleABD+ADB+BAD=180

50+50+ADB=180

ADB=80

NOW angleADB+ADE=180

80+ADE=180

ADE=100

NOW IN triangleADE

angleA+D+E=180

x+100+80=180

x=0

Answer 2

Answer:

x=25

Step-by-step explanation:

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