Question

In the figure, lines l || m and n is a transversal. If angle1 = 70°,
find the measure of all angles from angle 2 to angle 8.​

Answer 1

Answer:

angle 2 =110°

angle 8=110°

Answer 2

Step-by-step explanation:

$\implies$ $\sf{\angle1+\angle2=180° }$ (Linear pair)

$\implies$ $\sf{70°+\angle2=180° }$

$\implies$ $\sf{\angle2=180-70 }$

$\implies$ $\boxed{\sf{\angle2=110° }}$

$\implies$ $\sf{\angle1=\angle3=70° }$ (Vertically opposite angles are equal)

$\implies$ $\sf{\angle3=\angle7=70° }$ (corresponding angles are equal)

$\implies$ $\sf{\angle1=\angle5=70° }$

( corresponding angles are equal )

$\implies$ $\sf{\angle2=\angle4=110° }$

(Vertically opposite angles are equal)

$\implies$ $\sf{\angle4=\angle8=110° }$

(corresponding angles are equal)

$\implies$ $\sf{\angle2=\angle6=110° }$

(corresponding angles are equal)

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