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juliapreciiado
04.11.2020 •
Mathematics
HELP DUE TODAY
What is the measure of \blueD{\angle x}∠xstart color #11accd, angle, x, end color #11accd?
Angles are not necessarily drawn to scale.
\blueD{\angle x}∠xstart color #11accd, angle, x, end color #11accd ==equals
\Large{{}^\circ}
∘
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Ответ:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Ответ:
Data is distinct pieces of information, usually formatted in a special way.
Step-by-step explanation: