dodgersbabe04
Answered

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PLSSS HELP!!! 40 pts!!!!
Using what you know about angles and translations, find all of the angle
measures in the image below.

PLSSS HELP 40 Pts Using What You Know About Angles And Translations Find All Of The Angle Measures In The Image Below class=

Sagot :

Nepalieducation

Answer:

∠1=135°

∠2=45°

∠3=45°

∠4=135°

∠5=135°

∠6=45°

∠7=45°

∠8=135°

Step-by-step explanation:

→∠1=∠4[Being vertically opposite angles]

→∠4=135°

→∠1=∠5[Corresponding angles]

→∠5=135°

→∠5=∠8[Being vertically opposite angles]

→∠8=135°

→∠1+∠2=180°[Sum of linear pair]

→∠2=180°-135°

→∠2=45°

→∠2=∠3[Being vertically opposite angles]

→∠3=45°

→∠3=∠6[Alternate angles]

→∠6=45°

→∠6=∠7[Being vertically opposite angles]

→∠7=45°

semsee45

Answer:

∠1 = 135°

∠2 = 45°

∠3 = 45°

∠4 = 135°

∠5 = 135°

∠6 = 45°

∠7 = 45°

∠8 = 135°

Step-by-step explanation:

  • The diagram shows two lines that are intersected by a transversal.  (A transversal is a line that passes through two lines in the same plane at two distinct points).

  • When two lines are intersected by a transversal, the angles in matching corners are called Corresponding Angles
    So  ∠1 = ∠5  , ∠2 = ∠6 , ∠3 = ∠7 , ∠4 = ∠8

  • Angles on one side of a straight line always add to 180°

Using the Angles on a Straight Line theorem

Angle 1 and 2 are on a straight line, so

∠2 = 180 - ∠1 = 180 - 135 = 45°

Similarly,

∠3 = 180 - ∠1  = 180 - 135 = 45°

∠4 = 180 - ∠3 = 180 - 45 = 135°

Using the Corresponding Angles theorem

As ∠1 = ∠5, then ∠5 = 135°

As ∠2 = ∠6, then ∠6 = 45°

As ∠3 = ∠7, then ∠7 = 45°

As ∠4 = ∠8, then ∠8 = 135°

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