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Andrews [41]
3 years ago
6

Find the measure of angle A

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:50 degress 2/2

Step-by-step explanation:

2/2

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Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of an
Gnoma [55]

Answer:

<h3>             The true statement is the first:</h3><h2>         Measure of angle A = 20 degrees</h2>

Step-by-step explanation:

The sum of the measure of the interior angles in a triangle is 180°

m∠A + m∠B + m∠C = 180°

(2x)° + (5x)° + (11x)° = 180°

   (18x)° = 180°

       x = 10

A = (2×10)° = 20°     {<u>the first statement is true}</u>

B = (5×10)° = 50°      {the second statement is false}

C = (11×10)° = 110°

m∠A + m∠B = 20° + 50° = 70° ≠ 90°   {the third statement is false}

m∠A + m∠C = 20° + 110° = 130° ≠ 120°   {the fourth statement is false}

3 0
3 years ago
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PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR
emmainna [20.7K]

Given:

It is given that,

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the value of ∠QPR.

Formula

As per the given problem PR lies between PQ and PS,

So,

∠QPR+∠RPS = 90°

Now,

Putting the values of ∠RPS and ∠QPR we get,

7x-9+4x+22 = 90

or, 11x = 90-22+9

or, 11x = 77

or, x = \frac{77}{11}

or, x = 7

Substituting the value of x = 7 in ∠QPR we get,

∠QPR = 7(7)-9

or, ∠QPR = 40^\circ

Hence,

The value of ∠QPR is 40°.

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3 years ago
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A jeweler made a new crown for the queen. It was made with an 8.74-carat diamond, a 7.086-carat ruby, and a 4.932-carat sapphire
miss Akunina [59]

Answer:

20.758

Step-by-step explanation:

8.74 + 7.086 + 4.932

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