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if in the figure De is parallel to BC and CD is parallel to BC then name the angle that are congruent to to angle 1 and angle 2. . please answer this question this question leads to 100 marks |
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Answer» Type your QUESTION...9thMathsLines and AnglesChecking for Parallel LinesIf in the figure a || b and...MATHSIf in the figure a || b and c || d, then name the angles that are congruent to ∠1.questionJanuary 17, 2020avatarViola BhatiaShareSaveANSWERGiven that a∣∣b and c∣∣d∠1=∠3 ...(i) (vertically opposite angles)∠1=∠5 ...(II) (a∣∣b, so, corresponding angles)∠5=∠7 ...(iii) (vertically opposite angles)From (ii) and (iii)∠1=∠7 ...(IV)∠1=∠9 ...(v) (c∣∣d,so,corresponding angles)∠9=∠13 ...(vi) (a∣∣b,so,corresponding angles)From (v) and (vi)∠1=∠13 ...(vii)∠9=∠11 ...(VIII) (vertically opposite angles)From (v) and (viii)∠1=∠11 ...(IX)∠13=∠15 ...(x) (vertically opposite angles)From (vii) and (x)∠1=∠15 ...(xi)From (i),(ii),(iv),(v),(vii),(ix),(xi)∠1=∠3=∠5=∠7=∠9=∠11=∠13=∠15 |
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