Which of the following statements is not true about the figure given below? Options: A . &nbsp ∠ DBC = 180 ∘ B . &nbsp ∠ CBA = 90 ∘ C . &nbsp ∠ CBA and ∠ DBA are supplementary. D . &nbsp ∠ ABD = 60 ∘

Which of the following statements is not true about the figure given below?

Question

Which of the following statements is not true about the figure given below?

Options:

A .

∠

DBC = 180

^{\circ}

B .

∠

CBA = 90

^{\circ}

C .

∠

CBA and

∠

DBA are supplementary.

D .

∠

ABD = 60

^{\circ}

Answer: Option D
:
D

Here $∠$ ABD and $∠$ ABC are supplementary, since they lie on a straight line.
Hence $∠$ DBC = 180 $^{\circ}$
Given, $∠$ ABC = 90 $^{\circ}$
$∴ ∠$ ABD = 180 - $∠$ ABC = 180 - 90 = 90 $^{\circ}$

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