Triangle Geometry 1
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Question 1 of 5
1. Question
Find the value of `x`
- `x=` (68)°
Hint
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Great Work!
Incorrect
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+25+87` `=` `180` `x+112` `=` `180` Simplify `x+112` `-112` `=` `180` `-112` Subtract `112` from both sides `x` `=` `68°` `/_ x=68°` -
Question 2 of 5
2. Question
Find the value of `x`
- `x=` (60)°
Hint
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Correct!
Incorrect
The sum of the interior angles in a triangle is `180°`We can see in the image that the triangle is an equilateral triangle, which means it has equal sides.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+x+x` `=` `180` `3x` `=` `180` Simplify `3x``divide3` `=` `180``divide3` Divide both sides by `3` `x` `=` `60°` `/_ x=60°` -
Question 3 of 5
3. Question
Find the value of `x`
- `x=` (45)°
Correct
Keep Going!
Incorrect
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+71+64` `=` `180` `x+135` `=` `180` Simplify `x+135` `-135` `=` `180` `-135` Subtract `135` from both sides `x` `=` `45°` `/_ x=45°` -
Question 4 of 5
4. Question
Find the value of `x`
- `x=` (25)°
Correct
Fantastic!
Incorrect
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+20+135` `=` `180` `x+155` `=` `180` Simplify `x+155` `-155` `=` `180` `-155` Subtract `155` from both sides `x` `=` `25°` `/_ x=25°` -
Question 5 of 5
5. Question
Find the value of `x` and `y`
-
`x=` (75)`°``y=` (30)`°`
Hint
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Nice Job!
Incorrect
An Isosceles Triangle has two congruent sides (the two sides with dashes) and the two base angles are equal.To solve for `y`, add it to `x` and `75°`, then set their sum to `180°`.Since the base angles in an isosceles triangle are equal, `x` is equal to `75°``x` `=` `75` 
Since the interior angles of a triangle add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for `y`.`y` `+75+75` `=` `180` `y` `+150` `=` `180` Simplify `y` `+150` `-150` `=` `180` `-150` Subtract `150` from both sides `y` `=` `30°` `/_ x=75°``/_ y=30°` -
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