Find the missing angle measure for the quadrilaterals below.

Mathematics

2 answers:

Anna35 [415]3 years ago

7 0

Answer:

I haven't done this type of math in a while so sorry if it is wrong. The answer is 99

Step-by-step explanation:

All the angles will equal up to 360 degrees.

So add all of the angles and that will give you 261. Next, minus 360 and 261. That will give you 99.

Step 1: 108+72+81=261

Step 2: 360-261=99

(sorry if im wrong).

nydimaria [60]3 years ago

5 0

Answer:

1. = 99 degrees 2. = 85 degrees

Step-by-step explanation: All quadrilaterals have a total of 360 degrees. You can figure out the rest.

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$\displaystyle\bf\\Explanations:\\\\The~similarity~ratio~of~two~similar~cones=k\\\\k=is~the~ratio~between~2~corresponding~lengths\\\\k=\frac{R_1}{R_2}=\frac{h_1}{h_2}\\\\The~ratio~between~2~corresponding~areas~of~similar~cones=k^2\\\\\frac{Area~1}{Area~2}=k^2\\\\The~ratio~between~the~volumes~of~the~2~similar~cones=k^3\\\\\frac{Volume~1}{Volume~2}=k^3$

$\displaystyle\bf\\Solving:\\\\Volume1=108~m^3\\\\Volume2=4m^3\\\\k^3=\frac{108}{4}\\\\k^3=27~~\Big|\sqrt{~}\\\\k=\sqrt[\b3]{27}\\\\k=3\\\\Area1=54~m^2\\\\\frac{Area~1}{Area~2}=k^2\\\\\frac{54}{Area~2}=3^2\\\\\frac{54}{Area~2}=9\\\\Area2=\frac{54}{9}\\\\\boxed{\bf Area2=6 m^2}$