In the given figure, AB || CD, AC = CE, ZACE = 68°, LBAE = 14°. Find the value of 'a' and 'b'.
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Answer:
a = 134 and b = 32
Step-by-step explanation:
angleCAE = angle CEA = x(say) [angles opp. to equal sides are equal]
Now, x + x + 68 = 180 [Anle sum property of triangle]
x = 56
Now , angleCEA + a = 180 [Linear Pair]
=> 56 + a =180
=> a = 134
Now a + 14 + angle EBA = 180 [ANGLE SUM PROPERTY OF TRIANGLE]
Angle EBA = 180-14-134
Angle EBA = 32
Now , b = angle EBA [Alternate angles]
therefore , b = 32
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