Answer:
Hence, the measure of the angle is 80°
Step-by-step explanation:
As the figure shown, we can see two angles are formed Same Side Exterior Angles which is they add up to 180°. Therefore,
Now that we find the value of [tex]x[/tex]. Simply substitute the value of [tex]x[/tex] to the encircled expression to find the measure of the angle.
To find the mesaure of the angle circled on the diagram, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the
expression to find the measure of the
angle circled on the diagram:
⇒ x + 89 = -9 + 89
⇒ x + 89 = 80°
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Answers & Comments
Answer:
Hence, the measure of the angle is 80°
Step-by-step explanation:
As the figure shown, we can see two angles are formed Same Side Exterior Angles which is they add up to 180°. Therefore,
Now that we find the value of [tex]x[/tex]. Simply substitute the value of [tex]x[/tex] to the encircled expression to find the measure of the angle.
Hence, the measure of the angle is 80°
Verified answer
Answer:
x + 89 = 80°
Step-by-step explanation:
To find the mesaure of the angle circled on the diagram, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the
expression to find the measure of the
angle circled on the diagram:
⇒ x + 89 = -9 + 89
⇒ x + 89 = 80°