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musickatia [10]
4 years ago
8

What is the measure of 1

Mathematics
2 answers:
krek1111 [17]4 years ago
7 0

the measure of ∠1 is 92 degrees

andrew11 [14]4 years ago
4 0

Answer: 92^{\circ}

Step-by-step explanation:

The measure of angles in the given quadrilateral are:62^{\circ}, 92^{\circ}, 114^{\circ}\text{ and }\angle{1}.

We know that the sum of all angles of a quadrilateral is 360^{\circ}.

i.e. 62^{\circ}+ 92^{\circ}+114^{\circ}+\angle{1}=360^{\circ}.

Simplify left side , we get

268^{\circ}+\angle{1}=360^{\circ}

Subtract 268^{\circ} from bnoth the sides , we get

\angle{1}=360^{\circ}-268^{\circ}\\\\\Rightarrow \angle{1}=92^{\circ}

Hence, the measure of \angle{1}=92^{\circ}

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===========================================

Explanation:

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Then move the x term over to the left side

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