find x,y,z in the given parallel gram ABCD .plss help me!
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x=25°y=45°,z=110.....hope you like the answer....
Answered by
4
Given:-
- ABCD is a parallelogram
- ∠ DAC = 45°
- ∠ CBE = 70°
To find:-
- angles x , y , z
Solution:-
∵ ∠ DAE and ∠ CBE are corresponding angles
∴ ∠ DAE = ∠ CBE = 70°
→ ∠DAE = ∠ DAC + ∠ CAE = 70°
→ 45° + x = 70°
→ x = 25°
∵ ∠ DAC and ∠ ACB are Alternate interior angles
∴ ∠ DAC = ∠ ACB = 45°
so, → y = 45°
∵ ∠ ADC and ∠ DAB are co. interior angles
∴ ∠ ADC + ∠DAB = 180°
→ z + ∠ DAC + ∠ x = 180°
→ z + 45° + 25° = 180°
→ z = 110°
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