Triangle Geometry 2
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Question 1 of 4
1. Question
Find the value of `x`
- `x=` (55)°
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The sum of the interior angles in a triangle is `180°`Since the interior angles of a triangle add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for `x`.`x+75+50` `=` `180` `x+125` `=` `180` Simplify `x+125` `-125` `=` `180` `-125` Subtract `125` from both sides `x` `=` `55°` `/_ x=55°` -
Question 2 of 4
2. Question
Find the value of `a`
- `a=` (20)
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The sum of the interior angles in a triangle is `180°`Since the interior angles of a triangle add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for `a`.`3a+a+30+70` `=` `180` `4a+100` `=` `180` Simplify `4a+100` `-100` `=` `180` `-100` Subtract `100` from both sides `4a` `=` `80` `4a``divide4` `=` `80``divide4` Divide both sides by `4` `a` `=` `20` `a=20` -
Question 3 of 4
3. Question
Find the value of `a`
- `a=` (120)°
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An exterior angle of a triangle is equal to the sum of two interior angles opposite of it.To solve for `a`, add the two given interior angles.We can see in the diagram that the interior angles `68°` and `52°` are opposite to the exterior angle `a`
Therefore, `a` will be equal to the sum of the two interior angles opposite of it.`a` `=` `68+52` `a` `=` `120°` `/_ a=120°` -
Question 4 of 4
4. Question
Find the value of `b`
- `b=` (89)°
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Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.The sum of the interior angles in a triangle is `180°`To solve for `b`, solve for its supplementary angle by adding the given interior angles and setting their sum to `180°`Let this supplementary angle be `a`.First, we can see from the diagram that the exterior angle `125°` and the interior angle `a` lie on a straight line. Therefore, they are supplementary angles
Since supplementary angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `a`.`a+125` `=` `180` `a+125` `-125` `=` `180` `-125` Subtract `125` from both sides `a` `=` `55°` Finally, since the interior angles of a triangle add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for `b`.`a+b+36` `=` `180` `55+b+36` `=` `180` Plug in the known values `b+91` `=` `180` Simplify `b+91` `-91` `=` `180` `-91` Subtract `91` from both sides `b` `=` `89°` `/_ b=89°`
Quizzes
- Complementary and Supplementary Angles 1
- Complementary and Supplementary Angles 2
- Complementary and Supplementary Angles 3
- Vertical, Revolution and Reflex Angles 1
- Vertical, Revolution and Reflex Angles 2
- Alternate, Corresponding and Co-Interior Angles 1
- Alternate, Corresponding and Co-Interior Angles 2
- Alternate, Corresponding and Co-Interior Angles 3
- Angles and Parallel Lines
- Triangle Geometry 1
- Triangle Geometry 2
- Triangle Geometry 3
- Quadrilateral Geometry 1
- Quadrilateral Geometry 2
- Congruent Triangles 1
- Congruent Triangles 2
- Deductive Geometry (Reasoning) 1
- Deductive Geometry (Reasoning) 2