4. Quadrilateral LUCK is an isosceles trapezoid with legs UC and LK.click the pi...

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September 2021 1 33 Report

4. Quadrilateral LUCK is an isosceles trapezoid with legs UC and LK.
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I would really appreciate you if you answer this correctly :)

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sakuragi1904

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$\large\underline \bold{{SOLUTION}}$

4. $\bold{A:}$ The diagonals of an isosceles trapezoid are equal.

$\rm{\overline{UK}\cong\overline{LC}}$
$\rm{\overline{LC}=\boxed{\rm{\overline{19}}}}$

$\bold{B:}$ angles adjacent to opposite bases are supplementary.

$\rm{\angle{L}+\angle{K}=180}$
$\rm{75+\angle{K}=180}$
$\rm{\angle{K}=180-75}$
$\rm{\angle{K}=\boxed{105°}}$

$\textsf{$\angle{K}$ and $\angle{U}$ are equal}$

Hence , $\rm{\angle{U}=\boxed{75°}}$

5. $\rm{For \:A:\overline{MN}\cong\overline{QM \:or\:a}}$

$\textrm{We can see that $\overline{MN}$$\cong$$\overline{a}$}$
$\rm{ \boxed{\overline{10cm}}\cong\overline{a}}$

$\rm{For \:B:\overline{NR}\cong\overline{b}}$

$\textrm{We can see that $\overline{NR}$$\cong$$\overline{b}$}$
$\rm{ \boxed{\overline{18cm}}\cong\overline{b}}$

$\rm{For \:x: \angle{x} \cong\angle{N}}$

$\text{Opposite angles are equal}$
$\textrm{Hence,$\angle{\rm{x}}$=\boxed{95°}}$

$\textrm{For y:All angles add up to 360°}$

$\rm{95°+95°+44°+y=360°}$
$\rm{234°+y=360°}$
$\rm{y=360°-234°}$
$\rm{y=\boxed{126°}}$

BB8v1 ok

BB8v1 thank you so much for helping me :)

brainlyph7030 ang galing talaga ni idol.

brainlyph7030 hindi po yun tyamba idol. magaling po talaga kayo.. Kaya nga po angdaming nakapilang nag papa help..

brainlyph7030 sainyo

boralaine80 kasama po b isusulat ungg may A sa no. 5

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