Question

Hello help me with this question thanks in advance​

Answer 1

1) 100/2 = 50°.

2) 50°

3) 50°

Reasons: rhombus, perpendicular bisector

- Toodles!~

Answer 2

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Answer 18 :-

We have,

Rhombus RAMS and Angle SMA = 100°

• In rhombus, The diagonals bisect each other at an angle of 90° .

Therefore,

`\sf{\angle{ AMR = 1/2}}{\sf{\angle{ SMS}}}`

`\sf{\angle{ AMR = 1/2 × 100 }}`

`\sf{\angle{ AMR = 50° }}`

Thus, Angle AMR is 50°

Hence, Option D is correct

Answer 19 :-

We know that,

• The sides of rhombus are equal and parallel to each other

`\sf{\angle{ AMR = }}{\sf{\angle{ RMS}}}`

[ Alternative interior angles ]

`\sf{\angle{ RMS = 50° }}`

Thus, The value of Angle RMS is 50°

Hence, Option B is correct

Answer 20 :-

Here, we have to find the value of mAngleMSA

In ΔCMS,

By using Angle sum property

`\sf{ 50° +}{\sf{\angle{MSC + 90° = 180° }}}`

`\sf{\angle {MSC = 180° - 140°}}`

`\sf{\angle{MSC = 40° }}`

Therefore,

`\sf{m}{\sf{\angle{MSA = 40° }}}`

Thus, The value of mAngle MSA is 40°