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Find the measure of angle z in the following figure

Find the measure of angle z in the following figure-example-1

2 Answers

11 votes

Answer:

40 degrees

Explanation:

so in order to find this we first off know that every triangle's inside angles are equal to 180 degrees total.

so if we take that <A is equal to 90 degrees

then we see that the outside of <C is equal to 130 and line BCD is a confirmed straight line

then each line is equal to 180 degrees so we subtract 130 from 180 in order to find the inside angle of C so that would equal 50

so now that we know <A=90

and <C=50

then we add those two together and that equals 140 degrees

and so there is only one more angle which is <Z

so we subtract 140 from the total amount of 180 degrees in the triangle

leaving us with <Z=40 degrees

User Chekmare
by
4.0k points
5 votes

Answer:

z=40 degrees

Explanation:

a triangle is 180 degrees

<ACB=50 (180-130=50)

50+90=140

180-140=40

User Michael Ramos
by
4.0k points