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find the measure of the given angles in the figure below, given the line F and G are intersecting line.​

1.MEASURE OF ANGLE NUMBER 1

Find The Measure Of The Given Angles In The Figure Below Given The Line F And G Are Intersecting Line 1MEASURE OF ANGLE NUMBER 1 class=

Sagot :

Dolluvidn

Answer

[tex] \underline{ \boxed{ \sf143 \degree}}[/tex]

Solution,

Given that,

  • Angle 4 is 37°.
  • f and g are intersecting lines.

To find,

  • Measure of angle 1.

Finding,

[tex] \sf{ \angle \: 4 = 37 \degree} \: {(given)}[/tex]

So,

[tex] \boxed{ \sf{\angle \: 2 =37 \degree }}[/tex]

(vertically opposite angles are equal)

Now,

We know that angles on a straight line forms an angle of 180°.

So,

[tex] \sf{ \angle1 + \angle2 = 180 \degree} \\ \sf{ \angle1 = 180 \degree - 37 \degree} \\ \underline{\boxed{ \sf{ \angle \: 1 = 143 \degree}}}[/tex]

Thanks!

Jafif67556idn

Answer:

Angle 1: 37°

  • (It's the same as angle 3 because they are opposite each other)

Angle 2: 143°

  • (It's the other part of a straight line with angle 1, so they add up to 180 degrees)

Angle 3: 37°

  • (This is given in the image)

Remember, when two lines cross, they create four angles. The angles opposite each other are always equal, and the angles next to each other add up to 180 degrees.

Key Points:

[tex]1. (\angle 1\) \: and \: \(\angle 3\) \: are \: vertical \: angles.[/tex]

[tex]2. \(\angle 1 = \angle 3\).[/tex]

Calculation:

Given:

[tex]- \(\angle 3 = 37^\circ\)[/tex]

Since (angle 1) is a vertical angle to \(\angle 3\), we have:

[tex]\angle 1 = \angle 3 = 37^\circ[/tex]

[tex] \text{Therefore,} \: ∠1=37∘[/tex]

Therefore, the measure of angle 1 is ( 37 ) degrees.