Question

Find the lettered angles in each case

Answer 1

Answer:

In triangle ABC,

angle FAE=70°-----(GIVEN)

Angle ACD=110° ------(GIVEN)

Now we will find x first ,

angle FAE=angle BAC=70-------(Opposite angle)

therefore angle BAC=70

X=70°

NOW FIND Z.

angle ACD=110°

therefore,. Angle ACB+ ANGLE ACD=180°

(supplementary angle)

Z+110=180

Z=180-110

therefore,angle Z=70°

We had find two angle of triangle,

third angle can be find by sum of all angle of a triangle is 360°.

X+Z+Y=360

70+70+Y=360

140+Y=360

Y=360-140

Y = 220

therefore angle Y =220°

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