Question

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​

Answer 1

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9th

Maths

Lines and Angles

Checking for Parallel Lines

If in the figure a || b and...

MATHS

If in the figure a || b and c || d, then name the angles that are congruent to ∠1.

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January 17, 2020

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Viola Bhatia

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ANSWER

Given 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

Answer 2

All the angles are equal.You can find understand this by remembering alternate interior angles and corresponding angles.