Given m<7=38 and m<10= 102 find the measure of each missing angle.

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Ответ:

naseral7elo

21.04.2022

Mathematics

Part 1) The least possible measure of angle ADC is 2 degrees

Part 2) The greatest possible measure of angle ADC is 178 degrees

Step-by-step explanation:

we know that

An acute angle is an angle that measures less than 90 degrees and greater than 0 degrees

Remember that

The two angles have the same whole number measure

$m\angle ADB=m\angle BDC$

The measure of angle ADC is equal to

$m\angle ADC=m\angle ADB+m\angle BDC$ ---> by Addition Angle Postulate

The least possible measure of ADC is for

$m\angle ADB=m\angle BDC=1^o$ ----> remember that is a whole number

$m\angle ADC=1^o+1^o=2^o$

The greatest possible measure of ADC is for

$m\angle ADB=m\angle BDC=89^o$ ----> remember that is a whole number

$m\angle ADC=89^o+89^o=178^o$

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