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Anna71 [15]
3 years ago
9

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics
2 answers:
motikmotik3 years ago
7 0

Answer:

x = 52

Step-by-step explanation:

Since we know that <em>a</em><em>l</em><em>l</em><em> </em><em>a</em><em>n</em><em>g</em><em>l</em><em>e</em><em>s</em><em> </em><em>o</em><em>f</em><em> </em><em>a</em><em> </em><em>t</em><em>r</em><em>i</em><em>a</em><em>n</em><em>g</em><em>l</em><em>e</em><em> </em><em>a</em><em>d</em><em>d</em><em> </em><em>u</em><em>p</em><em> </em><em>t</em><em>o</em><em> </em><em>1</em><em>9</em><em>0</em><em> </em><em>d</em><em>e</em><em>g</em><em>r</em><em>e</em><em>e</em><em>s</em><em>,</em>

Angle RQS = 180 - 90 - 34

= 56 degrees

Angle PQS = 180 - 56 (<em>A</em><em>n</em><em>g</em><em>l</em><em>e</em><em>s</em><em> </em><em>o</em><em>n</em><em> </em><em>a</em><em> </em><em>s</em><em>t</em><em>r</em><em>a</em><em>i</em><em>g</em><em>h</em><em>t</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em> </em><em>a</em><em>d</em><em>d</em><em> </em><em>u</em><em>p</em><em> </em><em>t</em><em>o</em><em> </em><em>1</em><em>8</em><em>0</em><em>)</em>

= 124 degrees.

Therefore, x + 72 = 124

<u>x</u><u> </u><u>=</u><u> </u><u>5</u><u>2</u>

mina [271]3 years ago
7 0

Answer:

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite side

: 90° + 34° = x + 72°

x = 90° + 34° - 72°

x = 52°

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