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Leviafan [203]
3 years ago
14

In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of an

gle XZY?
Mathematics
2 answers:
lbvjy [14]3 years ago
8 0
<h2>Answer: 55 degrees</h2>

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles \theta, \alpha and \beta:

\theta+\alpha+\beta=180\º

Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:

XYZ+YXZ+XZY=180\º

50\º+75\º+XZY=180\º

XZY=180\º-50\º-75\º

Finally:

XZY=55\º

Strike441 [17]3 years ago
4 0

Answer:

it is c 2.5

Step-by-step explanation:

i just did it

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mezya [45]

The length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

<h3>How to determine the parameters</h3>

To determine the angles and length of sides, we use the sine rule

The sine rule is thus:

\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}

Given;

  • a = 2. 5cm
  • c = 3. 6cm
  • ∠A = 43°

Let's find angle C

\frac{sin 43}{2. 5} = \frac{sin C}{3. 6}

cross multiply

0. 682 × 3. 6 = sin C × 2. 5

sin C = 2. 4552/ 2. 5

C = sin^-^1(0. 982)

C = 79°

To find length of b

b= \sqrt{c^2 - a^2}

substitute the values

b = \sqrt{3.6^2 - 2. 5^2}

b = \sqrt{6. 71}

b = 2. 59 cm

b = 3cm

To find angle B, we have

\frac{sin 43}{2. 5} = \frac{sin B}{2. 59}

cross multiply

0. 682 × 2. 59= sin B × 2. 5

sin B = 0. 7065

B = sin^-^1(0. 7065)

B = 45°

Hence, the length of b and angle B and C are 3cm, 45  degrees and 79 degrees respectively.

Learn more about sine rule here:

brainly.com/question/12827625

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1 year ago
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Ilia_Sergeevich [38]

Answer:

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She will have 19.5 cups of purple paint.
I couldn’t write the explanation of how you get the answer, but look your question up on Brainly and it’ll give you your explanation.

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