In Fig. 8.52, AB = AC; BC = CD, ZBAF = 130° and DE || BC.
Calculate :
(1) ZCDE (ii) ZDCE.
Fig. 8pls answer this step by step pls
Answers
Step-by-step explanation:
(i) angle CDE- 50°
(ii) angle DCE- 15°
see angle FAD+angle EAD=180°
so angle EAD=50°
now angle ACB+ABC+CAB=180°(it's a ∆)so as it is an isosceles triangle angle ACB and angle ABC=65°.
next we know that DE II BC, so angle AED and angle ADE are equal to 65°.
now as ∆BCD is an isosceles triangle. Angle CBD and Angle CDB are equal
to 65°.now the angles----ADE+CDE+CDB=180°
i.e. 65°+CDE+65°=180°
so as per calculation ANGLE CDE=50°.
next AED +CED=180° so angle CED = 115°.now the angles add up to 180°
CDE+CED+DCE=180°
50°+115°+DCE=180°.
so after calculation angle DCE turns out to be 15°.
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Answer:
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Step-by-step explanation:
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