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makvit [3.9K]
4 years ago
11

How do i finish this

Mathematics
1 answer:
ludmilkaskok [199]4 years ago
6 0
Hi there!

To start off, you should not use this equation because it is incorrect to use for this problem.

Here's how you should solve it:

The base angles of an isosceles triangle is always equal. That means angle S also has a measure of 2x+2.

Now, add up all the angles.

(2x + 2) + (2x + 2) + (3x + 1) = 180

This is the proper equation. Now, open the parenthesis and combine like terms.

7x + 5 = 180

Now, subtract both sides by 5

7x = 175

Now, divide both sides by 7.

x = 25

To solve for angle R, plug in x=25 into 3x+1

3(25) + 1

= 76

The measure of angle R is 76 degrees.

Have an awesome day! :)
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Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>,</u></em></h3>
  • GRAM is a parallelogram
  • m<GMA = 66°
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i) <em>Since</em><em>,</em>

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

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ii) <em>Since</em><em>,</em>

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<em><GRP = <PMA = 32°</em>

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <em><u><</u></em><em><u>GMP</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>34</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iii) <em>Since</em><em>,</em>

Opposite angles of a parallelogram are equal so,

<em><</em><em>RGM</em><em> = <</em><em>RAM</em><em> = </em><em>114</em><em>°</em>

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

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iv) <em>Since</em><em>,</em>

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