Question

How do I solve for letters, a, b, c, d?

Answer 1

Answer:

d+112=180 ......... linear pairs

d=180-112

d=68⁰

a+112 =180 ...... interior angles on same side of transversal

a=180-112

a=68⁰

a=b=68⁰ ....... vertically opposite angles

c=90 ............. alternate angles

Answer 2

Answer:

As shown in fig. ∠C=90 degree......(alternate interior angle ar equal)

∠ D +112 = 180....linear pair

∠D=180-112=68 degree

∠D=∠A........(alternate interior angle)

∠A=68 degree

∠A=∠B.......(vertically opposite angle are equal

∠B=68 degree

∴∠A=68 ,∠B=68 ,∠C=90 ,∠D=68 ..

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