Question

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Answer 1

Answer:

hope this may help u....

Answer 2

✩Given:-

$\overline{BA}$ ⊥ $\overline{BD}$

➣ m∠CBD=4x+52°

➣ m∠ABC = 8x - 10°

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✩To find:-

➣ ∠CBD

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✩Solution:-

Since $\overline{BA}$ ⊥ $\overline{BD}$

∠ABD = 90°

So,

∠ABD = ∠ABC + ∠CBD

By substituting the values given to us in the equation we get:-

➳ 90° = (8x-10) + (4x+52°)

➳ 90 = 8x - 10 + 4x + 52

➳ 90 =  8x + 42 + 4x

➳ 90 = 12x + 42

➳ 90-42 = 12x

➳ 48 = 12x

$\frac{48}{12}$ = x

x = 4

By substituting the value of x which we got in the equation of ∠CBD,

➳ ∠CBD = 4x + 52

➳ ∠CBD = (4×4) + 52

➳ ∠CBD = 16 + 5 2

$\boxed{∠CBD= 68°}$

And ∠ABC= 8x-10

                  8×4-10

                   32-10

                   22°

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