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rodikova [14]
3 years ago
9

I will give brainliest to whoever can answer this question. It’s due in 40 min Please help me )):

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Given:

m\angle L=m\angle Z=70^\circ

m\angle N=m\angle Y=90^\circ

To find:

The value of m\angle 1.

Solution:

In triangle XYZ,

m\angle Y=m\angle N=90^\circ        (Given)

m\angle Z=m\angle L=70^\circ         (Given)

m\angle X+m\angle Y+m\angle Z=180^\circ        [Angle sum property]

m\angle 1+90^\circ+70^\circ=180^\circ

m\angle 1+160^\circ=180^\circ

m\angle 1=180^\circ-160^\circ

m\angle 1=20^\circ

Therefore, the m\angle 1 is 20°.

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