Find the supplement of an angle that measures 20 degrees.

Mathematics

2 answers:

tester [92]3 years ago

7 0

Hello :
the supplement of an angle that measures 20 degrees is70degrees
because : 20degrees+70degrees =90 degrees

LenaWriter [7]3 years ago

4 0

Answer: The required supplement angle has measure 70 degrees.

Step-by-step explanation: We are given to find the supplement of an angle that measures 20 degrees.

We know that

two angles x and y are supplement of each other if

$m\angle x+m\angle y=90^\circ.$

Let x = 20°, so the supplement of x will be y, given as

$m\angle x+m\angle y=90^\circ\\\\\Rightarrow 20^\circ+m\angle y=90^\circ\\\\\Rightarrow m\angle y=90^\circ-20^\circ\\\\\Rightarrow m\angle y=70^\circ.$

Thus, the required supplement angle has measure 70 degrees.

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