Question

plz help me with the question
(plz give explanation)​

Answer 1

Step-by-step explanation:

$given \: \angle \: a \: = 105 \degree \\ then \: according \: to \: diagram \\ \angle \: d \: = \: \angle \: a \: \: \: { \: vertically \: opposite \: angles} \\ \angle \: d \: = 105 \degree \\ we \: know \: that \: \: sum \: of \: angles \: made \: on \: a \: point \: is \: 360 \degree \\ \angle \: a \: +\angle \: b \: + \angle \: c \: + \angle \: d \: = 360 \degree \\ put \: the \: value \: of \: \angle \: a \: \: and \: \angle \: d \: \\ 105 \degree + \: \angle \: b \: + \angle \: c \: + 105 \degree \: = 360 \degree \\ 210 \degree + \angle \: b \: + \angle \: c \: = 360 \degree \\ \angle \: b \: + \angle \: c \: = 360 \degree - 210 \degree \\ \angle \: b \: + \angle \: c \: = 150 \degree \\ because \: \angle \: b \: = \angle \: c \: \: (vertically \: opposite \: angles) \\ \angle \: b \: + \angle \: b \: = 150 \degree \\ 2\angle \: b \: = 150 \degree \\ \angle \: b \: = \frac{150 \degree}{2} \\ \angle \: b\: = 75 \degree \\ then \: \angle \: c \: = 75 \degree \\ (because \: \angle \: c \: = \angle \: b \:)$

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