Question

Find angle chk................

Answer 1

hey mate!!!

♥♥

heres ur answer...

angle cab = 180-137 (linear pair)

= 43

now as AB = AC

angle ABC = angle ACB

also angle CAB +angle ABC + angle ACB =180

let angle ABC be x

X + X + 43 =180

2x = 180-43

X = 137/2

X =68.5°

angle ABC = 68.5°

now in Δs AHK and ABC

HK || BC

and AB =AC

so

AH:AB = AK:AC

so Δ AHK ~ Δ ABC

so, angle AHK = angle ABC

angle AHK = 68.5°

now angle AHK + angle CHK + angle CHB = 180 (collinear)

68.5 + CHK + 68.5 =180

137 + CHK = 180

180-137=CHK

43° = CHK



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Answer 2

Answer:

43°

Step-by-step explanation:

angle cab = 180-137 = 43  

now as AB = AC

angle ABC = angle ACB

also angle CAB +angle ABC + angle ACB =180

let angle ABC be x

X + X + 43 =180

2x = 180-43

X = 137/2

X =68.5°

angle ABC = 68.5°

now in Δs AHK and ABC

HK || BC

and AB =AC

so

AH:AB = AK:AC

so Δ AHK ~ Δ ABC

so, angle AHK = angle ABC

angle AHK = 68.5°

now angle AHK + angle CHK + angle CHB = 180 (collinear)

68.5 + CHK + 68.5 =180

137 + CHK = 180

180-137=CHK

43= CHK