Question

given that DAB is straight line find the values of the unknown in each of the following figures ​

Answer 1

Answer:

hey here is your solution

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so here we go

Step-by-step explanation:

1.angle cab is an exterior angle of triangle adc

so by exterior angle theorem

we get

angle d+angle c=angle cab

but as side ad=side ac

base angles d and c would be equal by .isoceles triangle theorem

thus 2 times angle d=x

as angle d=26

x=52

hence value of x is 52 degree

2.here similarly as cd=ca

by isoceles triangle theorem

we get angle d=angle a

so use angle sum property of triangle you get

2angle d+x=180 (1)

so here angle cab is an exterior angle of triangle cad

thus by exterior angle theorem

we get

angle c+angle d=angle cab

ie angle d+x=110 (2)

subtract (2) from (1)

we get angle d=70

so as angle d=angle a

angle a=also 70

thus angle c=40

ie x=40

hence value of x is 40 degrees