Question

Find angle PTQ angle QTU angle SUT angle RUQ angle RQU angle UQT​

Answer 1

Step-by-step explanation:

In triangle PTQ,

angle PTQ + angle TPQ + angle TQP = 180° (Angle sum property of a triangle)

angle PTQ + 90° + 20° = 180°

angle PTQ + 110° = 180°

angle PTQ = 70°

angle PTQ + angle QTU + angle UTS = 180° (Straight angle)

70° + angle QTU + 45° = 180°

angle QTU + 115° = 180°

angle QTU = 65°

In triangle TSU,

angle STU + angle TSU + angle SUT = 180° (Angle sum property of a triangle)

45° + 90° + angle SUT = 180°

135° + angle SUT = 180°

angle SUT = 45°

In triangle TUQ,

angle TUQ + angle UTQ + angle TQU = 180° (Angle sum property of a triangle)

70° + 65° + angle TQU = 180°

135° + angle TQU = 180°

angle TQU = 45°

angle RQP = angle PQT + angle TQU + angle UQR

90° = 20° + 45° + angle UQR

90° = 65° + angle UQR

angle UQR = 25°

In triangle URQ,

angle URQ + angle RQU + angle QUR = 180° (Angle sum property of a triangle)

90° + 25° + angle QUR = 180°

115° + angle QUR = 180°

angle QUR = 65°

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Answer 2

Step-by-step explanation:

Find: (1) angle PTQ

(2) angle QTU

(3) angle SUT

(4) angle RUQ

(5) angle RQU

(6) angle UQT