Can someone help me out and show me the work to solve this question

Mathematics

1 answer:

Alina [70]3 years ago

4 0

Answer:

x = 105

y = 64

Step-by-step explanation:

Inside the four sided figure, the angles must add to 360. So 121+70+x+y = 360. You also know that a straight line is 180. This means 116 + y = 180. Using them together you can solve for the variables. Begin by substituting the equation 116 + y = 180 into the other equation.

116 + y = 180 converts to y = 180-116 = 64.

Substitute y = 64 into 121 + 70 + x + y = 360.

191 + x + 64 = 360

255 + x = 360

x = 105

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Answer:

$\bold{Q1}\ side\ BD\\\\\bold{Q2}\ \angle5\ \leftrightarrow\ \angle6\\\\\bold{Q3}\ \triangle TAP\\\\\bold{Q4}\ \triangle APT$

Step-by-step explanation:

For Q1 and Q2

$\text{If}\ AB\cong AC,\ BD\cong CD,\ RSTU\ \text{is a parallelogram (rectangle)},\ \text{then}\\\\\angle 1\ \leftrightarrow\ \angle2\\\angle3\ \leftrightarrow\ \angle4\\\angle C\leftrightarrow\ \angle B\\\angle 5\ \leftrightarrow\ \angle6\\\angle7\ \leftrightarrow\ \angle 8\\\angle R\ \leftrightarrow\ \angle T\\\angle S\ \leftrightarrow\ \angle U$

$\overline{AB}\ \leftrightarrow\ \overline{AC}\\\overline{BD}\ \leftrightarrow\ \overline{CD}\\\\\overline{RS}\ \leftrightarrow\ \overline{TU}\\\overline{ST}\ \leftrightarrow\ \overline{UR}$