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10. Find the measure of each missing angle.m_1 =m22=127mZ3 =2.m24 =595/43m25 =

Sagot :

step 1

Find the measure of angle 2

we have that

127+m<2=180 -----> by form a linear pair

so

m<2=180-127

m<2=53 degrees

step 2

Find out the measure of angle 4

we have that

m<4=59 -----> by corresponding angles

step 3

Find the measure of angle 5

we have that

m<5+m<4=180 -----> by form a linear pair

so

m<5+59=180

m<5=180-59

m<5=21 degrees

step 4

Find the measure of angle 1

REmember that

The sum of the interior angles in any quadrilateral must be equal to 360 degrees

so

m<1+127+m<5+59=360

m<1+127+21+59=360

m<1+207=360

m<1=153 degrees

step 5

Find the measure of angle 3

we have that

the sum of the interior angles in any triangle must be equal to 180 degrees

In the smaller triangle

m<2+m<3+m<4=180

substitute the given values

53+m<3+59=180

m<3+112=180

m<3=68 degrees

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