Geometry, NAPX-p116732v03
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
Variant 0
DifficultyLevel
450
Question
A bridge is drawn below.
The angle y° is marked from the foot of the bridge to the diagonal support.
The value of angle y° is
Worked Solution
The angle from the foot to the diagonal support is less than 90°
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | A bridge is drawn below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q26.svg 400 indent2 vpad
The angle $\large y\degree$ is marked from the foot of the bridge to the diagonal support.
The value of angle $\large y\degree$ is
|
| workedSolution | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q26-sol.svg 400 indent vpad
The angle from the foot to the diagonal support is {{{correctAnswer}}} |
| correctAnswer | |
Answers
| Is Correct? | Answer |
| ✓ | |
| x | |
| x | |
| x | more than 90° but less than 180° |
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
Variant 1
DifficultyLevel
454
Question
The angle marked x° is
Worked Solution
A right angle is 90°
∴ The angle marked x° is more than 90 degrees.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-13-v2.svg 120 indent vpad
The angle marked $\ \large x$$\degree$ is |
| workedSolution | A right angle is 90$\degree$
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-13ans-v2.svg 180 indent vpad
$\therefore$ The angle marked $\ \large x$$\degree$ is {{{correctAnswer}}} |
| correctAnswer | |
Answers
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rieKePSl4WChbvpIEthRPx/ZDa0o4xV15+s/pYF2Rc4l/Hhv9DBZ8OC6xU09FT1UU0R3ZKkyOmOipsRNTE5aLsrl6WlGTX1M0BAX4xVTeYPMphIIItT/z842cgfi3LkaoQYi3/cH3/B0AQKUZxzo2+rUq2SF6UmB2SGu9o9+6a+ILO36AgscZQ1Bra9MFx9b0843IuXdplckKWzCgt0fmeMfOto8mlVp3lGt17czu/Z++DDboEbiI4b6u8yPvehwcZieOTRiLAXdqjjaSkJRmHrPH9zO3XrLlvzjBLE1j/4U/20OEmAiRYrTHtsuAUlobSZq6jddqgbbWQxba99WqCD9gPzOfXllpXk56LAl+GLe1pyUAsPp0ytpu5Aa8n2oP+AgVkmwJTyAaeFECGfdjRLL3oi0zwd2ktzCVXjqewV3urLmlvHEXgIP86orZ5hfPf1dkq4mQWULk8yaICcyZrJ9wVy5VlS2MZIWWjThGaTHMnm84nKLQq6+8U7yfvbi55DpkzQavArz1K6FZzlp9l2yIpfIGfgQ7vzW6y6Be/6bJeIPfRaZ5kCrsfHLkUk3sWbYgKyX0HUyiLHNf60QoFZoxy73Db+EwgV1ASTMnAWFhD/Xia7N4JkISu9QkSrb86Qd+vjat5inJN0DXKmXWjLKo3Zpgc7u8Lye0s6pNUSvBlr7Qid5WrT72SU1xRxaKJLRckO50JkHKQnXWmxamqLRCfrPdvhK3mIzLCV//Dv9Nww0HQFtjecYYB0n9Dg55qnkkmge6O/2qQ==
Variant 2
DifficultyLevel
453
Question
A door wedge is pictured in the diagram below.
The angle marked x° is
Worked Solution
A right angle (bottom right in diagram) is 90°
∴ The angle marked x° is less than 90 degrees.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | A door wedge is pictured in the diagram below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-13-v1.svg 160 indent vpad
The angle marked $\ \large x$$\degree$ is |
| workedSolution | A right angle (bottom right in diagram) is 90$\degree$
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-13-v1.svg 160 indent vpad
$\therefore$ The angle marked $\ \large x$$\degree$ is {{{correctAnswer}}} |
| correctAnswer | |
Answers