Quadrilateral WXYZ has interior angles that meet the following criteria: Angles W and X are congruent . The smallest angle's measure is 100° less than twice the measure of angle W . The largest angle's measure is 10more than twice the measure of angle X Find the measure of the smallest angle in the quadrilateral .

Smallest angle is °

Step-by-step explanation:

Here we have , Quadrilateral WXYZ has interior angles that meet the following criteria:

Angles W and X are congruent.

According to question , angles are congruent i.e. Both angle measure same

⇒

Now ,

• The smallest angle's measure is 100° less than twice the measure of W.

According to above statement we have ,

Smallest angle =

• The largest angle's measure is 10º more than twice the measure of X. ( correction , in question given as 2X )

According to above statement we have ,

Largest angle =

Now , We know that sum of all 4 angles in 360 i.e.

⇒      { X=W }

⇒

⇒

⇒

Smallest angle is :  

Therefore , Smallest angle is ° .

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step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.