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algol13
3 years ago
14

Line WY is an altitude in triangle WXZ. If ΔYWZ ~ ΔYXW, what is true about XWZ? XWZ is an obtuse angle. XWZ is a right angle. XW

Z is congruent to WXY. XWZ is congruent to XZW.

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer:

It is b i just took the test

Step-by-step explanation:

topjm [15]3 years ago
7 0
<span>In triangle WXZ,

Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude 
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)

Now, in any triangle, the sum of all the three angles is 180.

In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°

Similarly, in WZY.

Hence, we conclude that XWZ is a right angle.

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Find the values of a and b.<br> a<br> The diagram is not drawn to scale.<br> a =<br> U<br> b =<br> U
nata0808 [166]

Answer:

a = 36°

b = 144°

Step-by-step explanation:

<h3><u>Method 1</u></h3>

Number of sides = n = 10

Sum of interior angles = (n - 2) × 180°

                                     = (10 - 2) × 180°

                                     = 8 × 180°

                                     = 1440°

Interior angle = b = sum of interior angles ÷ number of sides

                          b = 1440 ÷ 10

                          b = 144°

              a + b = 180° (Sum of angles in the straight line)

         a + 144° = 180°

a + 144° - 144° = 180° - 144°

                    a = 36°

<h3><u>Method 2</u></h3>

Number of sides = 10

Exterior angle = a = 360° ÷ Number of sides

                           a = 360° ÷ 10

                           a = 36°

            a + b = 180° (Sum of angles in the straight line)

        36° + b = 180°

36° + b - 36° = 180° - 36°

                 b = 144°

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2 years ago
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lora16 [44]

Answer:

Step-by-step explanation:

7 0
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