Answer:
90°
Step-by-step explanation:
Arc a subtends and angle of 45° to the circumference of the circle
We know that;
An angle subtended by an arc to the center of a circle is twice the angle subtended by the same chord to the center of the circle.
Therefore, if arc a subtends and angle of 45° to the circumference of the circle then;
a will be = 45 × 2
= 90°
Answer:
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Step-by-step explanation:
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srry i just need points for my testt :((
Answer:
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°
Due to the inclination of the
terrestrial axis, the day has different duration in several points of the
planet, which also depends on the time of year. However, this duration remains the same throughout the year in the Equator,
which is known as the imaginary line that divides the planet in two
hemispheres: Northern Hemisphere and Southern Hemisphere.