![]() ![]() Vertical Angle Theorem: Vertical angles are congruent.Supplementary Angles Calculator shows whether two angles are supplementary or not. Vertical AnglesVertical angles are two nonadjacent angles formed by two intersecting lines. Linear PairA linear pair consists of two adjacent angles whose noncommon sides are opposite rays.Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. The Supplement Theorem: Supplements of congruent angles are congruent. Theorem: If two angles are complementary and adjacent, then they form a right angle. The Complement Theorem: Complements of congruent angles are congruent.STATEMENTC and O are complementaryP and M are complementaryO MmC + mO = 90mP + mM = 90mC + mO = mP + mMmO = mMmC = mPC PREASONGivenDefinition of complementary anglesTransitive Property of EqualityDefinition of congruent anglesSubtraction Property of EqualityDefinition of congruent angles Given:C and O are complementary P and M are complementary O M Prove: C P The Complement Theorem: Complements of congruent angles are congruent. ![]() Given that the two angles below are supplementary, solve for the value of x and the angle measurements.mBYA 3x + 5mAYZ 2x 110° 70°mBYA + mAYZ3x + 5 + 2x3x + 2x5xx180180180 – 517535= Given that the two angles below are supplementary, solve for the value of x and the angle measurements.mW 3x – 55mX 155 – x 65° 115°mW + mX3x – 55 + 155 – x3x – x2xx180180180 + 55 – 1558040= Given that the two angles below are supplementary, solve for the value of x and the angle measurements.mTĕ0mV 3x + 40 50° 130°mT + mV50 + 3x + 403x3xX180180180 – 50 – 409030= But the angles don't have to be together.These two are supplementary because27° + 63° = 180°. Supplementary AnglesThese two angles (140° and 40°) are supplementary because they add up to 180°. Supplementary AnglesSupplementary angles are two angles whose measures have a sum of 180°. ![]() Given that the two angles below are complementary, solve for the value of x and the angle measurements.mFEG 35 – xmGEH 45 + 2x 25° 65°mFEG + mGEH35 – x + 45 + 2x– x + 2xx909090 – 35 – 4510= Given that the two angles below are complementary, solve for the value of x and the angle measurements.mC 2x + 20mD 3x – 5 50° 40°mC + mD2x + 20 + 3x – 52x + 3x5xx909090 – 20 + 57515= Given that the two angles below are complementary, solve for the value of x and the angle measurements.mAē0mB 2x + 10 30° 60°mA + mB30 + 2x + 102x2xx909090 – 30 – 105025= ![]() But the angles don't have to be together.These two are complementary because27° + 63° = 90°. Complementary AnglesComplementary angles are two angles whose measures have a sum of 90°.Ĭomplementary AnglesThese two angles (40° and 50°) are complementary because they add up to 90°. ![]()
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