Question

in the triangles ,find out x,y,andz​

Answer 1

Step-by-step explanation:

IN ∆ABC,

ANGLE A + ANGLE B + ANGLE C=180°. (ANGLE SUM PROPERTY)

50° + 60° + ANGLE C= 180°

110° + ANGLE C=180°

ANGLE C= 70°

BUT,

ANGLE C + ANGLE X= 180°

(LINEAR PAIR)

70° + ANGLE X= 180°

ANGLE X=110°

IN ∆EFG,

ANGLE E + ANGLE G + ANGLE F = 180°

(ANGLE SUM PROPERTY)

60° + 70° + ANGLE F= 180°

130° + ANGLE F = 180°

ANGLE F= 50°

BUT,

ANGLE F + ANGLE Z= 180°

(LINEAR PAIR)

50° + ANGLE Z= 180°

ANGLE Z=130°

IN ∆PQR,

ANGLE P + ANGLE Q + ANGLE R = 180°

(ANGLE SUM PROPERTY)

35° + 45° + ANGLE R= 180°

ANGLE R= 100°

BUT,

ANGLE R+ ANGLE Y= 180°

(LINEAR PAIR)

100° + ANGLE R= 180°

ANGLE R= 80°

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