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2 years ago

Find the measure of unknown angle

Mathematics

2 answers:

Bumek [7]2 years ago

7 0

Answer:

The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.

Angle Y = 68 (opposite quadrilateral angles are equal).

All quadrilateral angles add to 360 so:

68 + 68 + x + z = 360 = 292

angle X + Z = 292

Therefore angle x = angle z = 146

Step-by-step explanation:

max2010maxim [7]2 years ago

5 0

Answer:

Step-by-step explanation:

angle Z = 68 degree (being alternate angles)

angle X = 68 degree (opposite angle of a parallelogram is equal)

y + z = 180 degree (sum of adjecent angles of a parallelogram is 180 degree)

y + 68 = 180

y = 180 - 68

y = 112 degree

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2 years ago

Richard and Linda enjoy visiting Hilton Head Island, South Carolina. The distance from their home to Hilton Head is 870 mi, so t

lidiya [134]

Answer:

696 miles at the first day, and 174 miles at the second day.

Step-by-step explanation:

Given:

Richard and Linda enjoy visiting Hilton Head Island, South Carolina.

The distance from their home to Hilton Head is 870 miles.

So, the drive takes them 2 days.

<u>Richard and Linda travel four times as far the first day as they do the second day.</u>

Question asked:

How many miles do they travel each day?

Solution:

Let Richard and Linda traveled at the first day = $x\ miles$

Then Richard and Linda traveled at the second day will be = $4x\ miles$

Total distance from their home to Hilton Head = 870 miles

Traveled at the first day in miles + Traveled at the second day = 870

$4x+x=870\\ \\ 5x=870\\ \\ Dividing\ both\ sides\ by\ 5\\ \\ x=174\ miles$

By substituting the value:

Richard and Linda traveled at the first day = $x\ miles$ = 174 miles

Richard and Linda traveled at the second day will be = $4x\ miles$

$=4\times174=696\ miles$

Therefore, they traveled 696 miles at the first day and 174 miles at the second day.

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Find the measure of unknown angle​

Find the measure of unknown angle