starbuckscoffeetingz
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Please help me I’m been trying to do this for 30 mins

Please Help Me Im Been Trying To Do This For 30 Mins class=

Sagot :

Zylixe

Answer:

a triangle's angle will always sum up to 180°

In question 7, you can easily find X by first adding 36 + 36. This sums up to 72°. Now you have to subtract 72° from 180°. X = 108°

For question 9, X = 132°

Question 8, X = 58°>

Hope this helps

djtwinx017

Answer:

Question 7: m∠ x° = 108°

Question 8: m∠ x° = 48°

Question 9: m∠ x° = 8°

Step-by-step explanation:

Regardless of the type of triangle you are dealing with, always remember that the sum of the measures of any triangle is 180°.

Question 7

Given the two angles of a triangle: ∠36° and ∠36°, then it means that m∠ x° is:

m∠ x° = 180° - 36° - 36°

m∠ x° = 108°

Therefore, the value of x = 108°.  Since two of its angles have the same measure of 36°, then it means that the given triangle is an isoceles triangle. Also, since once of its angles has a measure that is greater than 90°, then the triangle is also an obtuse triangle. In other words, the given triangle is an obtuse isoceles triangle.

Note:

Another way of solving question 7 is to add the two given measures of angle and subtract their sum from 180°.

Question 8

Simiar to question 7, you could simply add the two given measures of a triangle, °42 and 90°, and subtract their sum from 180° to find the value of x.

m∠ x° = 180° - (42° + 90°)

m∠ x° = 180° - 132°

m∠ x° = 48°

Therefore, the value of x = 48°.  Since one of its angles has a measure of 90°, then it means that it is a right triangle. Also, since none of its angles have the same measure, then it means that the given triangle is a scalene triangle.  In other words, the given triangle is a scalene right triangle.

Question 9

The easiest way of solving this given problem is to solve for x algebraically. We can set up the following equation to solve for x:

180° = m∠ x° + m∠ 126° + m∠ 22°

180° = 4x° +  126° + 22°

180° = 4x° +  148°

Subtract 148° from both sides:

180° - 148° = 4x° +  148° - 148°

32° = 4x°

Divide both sides by 4 to solve for x:

32°/4 = 4x°/4

8 = x

Hence, the value of x = 8°. Verify whether we have the correct value for x by substituting its value to the equation:

180° = 4x° +  126° + 22°

180° = 4(8)° +  126° + 22°

180° = 32° +  126° + 22°

180° = 180° (True statement).

Since none of the three angles have the same measure (scalene), and that one of the angles is greater than 90° (obtuse). Therefore, the given triangle is an obtuse scalene triangle.    

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.