Answer:
Each base angle is 81°
Step-by-step explanation:
A pennant is in the shape of an isosceles triangle and the vertex angle is 18°.
An iscosceles triangle has two equal sides and two equal angles.
So assuming the base angles measure b° each;
b° + b° + 18° = 180° (angles in a triangle add up to 180°)
2b° = 180° - 18° = 162°
b = 162° ÷ 2 = 81°
So each base angle is 81°
Answer:A
Step-by-step explanation:
Vertex = (1,4)
Axis of symmetry is x = 1, (1,0) or just 1
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Answer:
Correct choices are A and C
Step-by-step explanation:
Inscribed angles property: The inscribed angles subtended by the same arc are equal.
1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).
2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).
3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.
4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.
Answer:
Angle JML= 132( given)
Triangle JML= 180( Angle sum property)
2x+ 48= KML( Exterior angle property)
In triangle JML,
76 + ∠L+ ∠KML=180°
∠KML=∠L( angles opposite to equal sides are equal)
76+2(2x+48)=180°
2(2x+48)=104°
2x=104-48=64°
x= 32°
Step-by-step explanation:
Hope it helps : )