jhapragya22
contestada

Lines
AB
and
CD
(if present in the picture) are straight lines. Fill in the blank to find x.

Statement Reason
1. m∠AOC +m∠COE +m∠______ = m∠ ______ _________________________
2. m∠AOB = ________ _________________________
3. m∠EOB = ________ _________________________
4. x + ______ +90°=180°
Substitution
5. x = ________ Algebra

Lines AB and CD if present in the picture are straight lines Fill in the blank to find x Statement Reason 1 mAOC mCOE m m 2 mAOB 3 mEOB 4 x 90180 Substitution 5 class=

Respuesta :

Answer:

x = 30

Step-by-step explanation:

Since AB is a straight line then

∠AOB + ∠COE + ∠EOB = 180° ← substitute values

x + 2x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

lublana

Answer:

[tex]x=30^{\circ}[/tex]

Step-by-step explanation:

We are given that lines AB and CD are straight lines.

We have to fill in the blank space to find x.

1.[tex]m\angle AOC+m\angle COE+m\angle EOB=m\angle AOB[/tex]

By substitution

2.[tex]m\angle AOB=180^{\circ}[/tex]

Because angle AOB is a straight angle and measure of angle AOB=180 degrees.

3.[tex]m\angle EOB=90^{\circ}[/tex]

Because it is right angle and measure of right angle is 90 degrees.

4.[tex]x+2x+90=180[/tex]

By substitution

5.[tex]3x=180-90=90[/tex]

[tex]x=\frac{90}{3}=30^{\circ}[/tex]

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