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2 years ago

Find a X HELP IM TAKING A TIMED TEST 51 POINTS

Mathematics

2 answers:

ss7ja [257]2 years ago

6 0

Answer:

Step-by-step explanation:

natima [27]2 years ago

4 0

Answer:

x = 55, upper left angle is 135, down left angle is 55

Step-by-step explanation:

The shape is a quadrilateral and all of the quadrilaterals angles added together is 360 degrees and that little square at the bottom right of the shape means it's a right angle and a right angle is 90 degrees so:

4x - 85 + 80 + x + 90 = 360

rearrange to make it easier to add like terms

4x + x - 85 + 80 - 90 = 360

add like terms

5x + 85 = 360

subtract 85 from both sides

5x = 275

divide both sides by 5

x = 55

Plug 55 into 4x - 85 to find the angles

4(55) - 85 = 135

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in parallelogram ABCD, AC is diagonal, the measure <ABC is 40°, and the measure of <ACD IS 57°. what is the measure of &lt

Nutka1998 [239]

Answer: $\angle CAD = 83^\circ$ Option D

Step-by-step explanation:

In this question we use properties of parallelogram and angle sum property of a triangle.

In parallelogram ABCD

$\angle ABC=40^\circ$

As, we know that opposite angles of parallelogram are equal

Therefore,

$\angle ABC =\angle ADC =40^\circ$

Now, in triangle ADC

We know that sum of all the angles of a triangle is $=180^\circ$

$\angle ACD +\angle ADC +\angle DAC =180^\circ$

$57^\circ +40^\circ +\angle DAC =180^\circ$

$97^\circ + \angle DAC = 180^\circ$

Subtracting 97 from both sides we get

$\angle DAC = 180^\circ - 97^\circ$

$\angle DAC = 83^\circ$

Measure of $\angle CAD = 83^\circ$

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devlian [24]

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vovikov84 [41]

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leonid [27]

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