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Vikki [24]
3 years ago
12

One angle of a parallelogram measures 68°. What are the measures of the other three angles in the parallelogram?

Mathematics
2 answers:
jarptica [38.1K]3 years ago
5 0

Answer:

2 angles 68⁰, the other 112⁰

Step-by-step explanation:

Two angles have 68⁰. And the other two have each 180⁰-68⁰=112⁰

lilavasa [31]3 years ago
4 0

Step-by-step explanation:

<em>we </em><em>know </em><em>that </em><em>opposite </em><em>angles </em><em>of </em><em>parallelogram </em><em>are </em><em>equal </em><em>so </em><em>1st </em><em>angle </em><em>and </em><em>3rd </em><em>angle </em><em> </em><em>are </em><em>6</em><em>8</em><em> </em><em>°</em><em> </em><em> </em><em>and </em><em>6</em><em>8</em><em>°</em>

<em>And </em><em>let </em><em>2nd </em><em>and </em><em>4th </em><em>angles </em><em>be </em><em>x </em><em>and </em><em>x </em>

<em>Now </em>

<em>6</em><em>8</em><em>°</em><em> </em><em>+</em><em> </em><em>6</em><em>8</em><em>°</em><em> </em><em>+</em><em> </em><em>x </em><em>+</em><em> </em><em>x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em><em> </em><em><</em><em>Being </em><em>sum </em><em>of </em><em>angles </em><em>of </em><em>parallelogram </em><em>></em>

<em>1</em><em>3</em><em>6</em><em>°</em><em> </em><em>+</em><em> </em><em>2x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em>

<em>2x </em><em>=</em><em> </em><em>3</em><em>6</em><em>0</em><em>°</em><em> </em><em>-</em><em> </em><em>1</em><em>3</em><em>6</em><em>°</em><em> </em>

<em>2x </em><em>=</em><em> </em><em>2</em><em>2</em><em>4</em><em>°</em>

<em>Therefore </em><em>x </em><em>=</em><em> </em><em>1</em><em>1</em><em>2</em><em>°</em>

<em>Now </em><em>the </em><em>measure </em><em>of </em><em>other </em><em>angles </em><em>are </em>

<em>6</em><em>8</em><em>°</em><em> </em><em>,</em><em> </em><em>1</em><em>1</em><em>2</em><em>°</em><em> </em><em>,</em><em> </em><em>6</em><em>8</em><em>°</em><em> </em><em>and</em><em> </em><em>1</em><em>1</em><em>2</em><em> </em><em>°</em>

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