Question

The arms of two angles are in such a way that, AB || XY and BC || YZ. ZABC = 60°, find the
following angles.
a) ZXOC
b) ZBOY
c) ZXYZ
d) ZCOY
​

Answer 1

ANSWER

Given that:

Sides of the two angles are parallel so AB∥DGE and line BGC∥EF

i)If AB∥DGE and BC is transversal line, then

∠DGC=∠ABC=70

∘

(Corresponding angle)

ii)If line BGC∥EF and DE is transversal line, then

∠DEF=∠DGC=70

∘

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